Solve the system of linear equations by substitution x=5y+2 and x-4y=5

Answers

Answer 1

Answer:

(17,3)

Step-by-step explanation:

Equation 1.

x=5y+2

Equation 2.

x-4y=5

To solve with substitution, it looks like the x-variable in the first equation is already isolated. So, plug the first equation into the x-variable in the second equation.

x-4y=5

(5y+2)-4y=5

y+2=5

y=3

Now that we found y, plug y into one of the equations to solve for x.

x=5y+2

x=5(3)+2

x=15+2

x=17

(17,3)


Related Questions


HELP ASAP!!!



Find the length of AB.
6 in
30°
В
AB = [? ]in

Answers

Answer:

30/360 ×π r^2 = AB

AB = 30 /360 × π ×6^2

AB = 9.42 IN

Fill in the missing statements and reasons in the proof

Answers

Answer:

1. Given

2. Vertical angle theorem

3. AB≅DB, EB≅CB, m<ABC≅m<DBE

4. △ABC ≅ △DBE

Hope this helps :D

PLS HURRY!! PLS
solve:-10k2+7

Answers

Answer:

Degree: 2

Polynomial type: Quadratic

Step-by-step explanation:

One is asked to identify the degree and type of polynomial when given the following expression:

[tex]-10k^2+7[/tex]

The degree of a polynomial refers to the exponent to which it is raised. In essence, the largest exponent in the expression. In this case, the largest exponent in this polynomial is (2). An expression to the second degree is referred to as a quadratic expression.

Is the following number rational or irrational?
0.7
Choose 1 answer:
Rational
Irrational

Answers

Correct answer:
Rational Number

Question No.b
Find the products or quotient in the exponential forms by using law of indices
The answer will be :- 3^9

Answers

Answer:

3*6 × 3*-3 × 3*6

3*(6-3+6)

3*9

Dan was thinking of a number. Dan halves the number and gets an answer of 18.8. Form an equation with x from the information.

Answers

Answer:

[tex]\dfrac{x}{2} = 18.8[/tex]

Step-by-step explanation:

Let x represent the number Dan was thinking about.

Half of the number, x = 18.8

Therefore, when x is divided by 2, the result is 18.8

The equation which can be formed with the given information is therefore;

[tex]\dfrac{x}{2} = 18.8[/tex]

for f (x)= -x + 8, what is the value of x for which f(x) = 9?

Answers

Answer:

x=-1

Step-by-step explanation:

f (x)= -x + 8

Let f(x) = 9

9 = -x+8

Subtract 8 from each side

9-8 = -x+8-8

1 = -x

Multiply each side by -1

-1 = x

help me with this question: Find y

Answers

Answer:

y = 4

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 45

Hypothenus = 4√2

Adjacent = y =?

The value of y can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent / Hypothenus

Cos 45 = y / 4√2

Cross multiply

y = 4√2 × Cos 45

Recall

Cos 45 = 1 / √2

Therefore,

y = 4√2 × 1/√2

y = 4

Can someone help me out

Answers

Answer:

40.2

Step-by-step explanation:

Circumference = 2πr

Plug in:

2π6.4

6.4 × 2 = 12.8

π = 3.14

12.8 × 3.14 = 40.1920.... = 40.2

The answer is 40.2

Hope this helped.

Answer:

Your answer should be 20.1

Step-by-step explanation:

6.4 x 3.14= 20.096

Rounded to the nearest tenth is 20.1

hope this helps c:

Consider the triangle
Which statement is true about the lengths of the sides?
6 C5
45
O Each side has a different length.
O Two sides have the same length, which is less than
the length of the third side.
O The three sides have the same length
O The sum of the lengths of two sides is equal to the
length of the third side.
45
search
BI
59°F Clear

Answers

Answer:

b

Step-by-step explanation:

The triangle is an isoceles triangle since there are 2 equal angles. Hence, 2 sides would be the same length. Since its a right angled triangle, the hypotenuse (third side) would always be longer than the 2 equal sides.  

What is 4 1⁄2 cm in millimetres

Answers

Answer:

the answer is 205 millimeters

Answer:

205 millimeters.

Step-by-step explanation:

just is

Which of the following is 1 2 over 4 in its simplest form?

Answers

Answer:

its 3

Step-by-step explanation:

3 is your answer I hope this help

Answer:

i don' know

Step-by-step explanation:

Factorise.. 25a sq. - 9b sq. please tell the answer​

Answers

Answer:

(5a + 3b)(5a - 3b)

Step-by-step explanation:

Given,

[tex] {25a}^{2} - {9b}^{2} [/tex]

[tex] = {(5a)}^{2} - {(3b)}^{2} [/tex]

Since,

[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

Then,

= (5a + 3b)(5a - 3b) (Ans)

Given m|n, find the value of x.
(6x+9)
(4x-19)
Answer:
Submit Answer
attempt i out of 2
I NEED HELP PLS

Answers

Answer:

x = 19

Step-by-step explanation:

The angles sum are complementary so they will sum to 180

(6x+9) +(4x-19) = 180

Combine like terms

10x - 10 = 180

Add 10 to each side

10x-10+10 =180+10

10x =190

Divide by 10

10x/10 = 190/10

x = 19

What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38, ...

Answers

Answer:

B. 4

Step-by-step explanation:

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer: D. -4

Step-by-step explanation: took the quiz and got it right.

2a( 3a + b)- 3a(2a+4b)

Answers

Answer:

-10ab

STEP BY STEP EXPLANATION

2a (3a + b) -3a(2a +4b)

6a² + 2ab - 6a²- 12ab

2ab-12ab 6a²-6a²

-10ab

Hope this will help you if not then sorry :)

Answer:

[tex]2a( 3a + b)- 3a(2a+4b)[/tex]

Expand by distributing terms.

[tex]6a ^{2} +2ab-3a(2a+4b)[/tex]

Expand by distributing terms.

[tex]6a 2+2ab-(6a^{2} +12ab)[/tex]

Remove parentheses

.[tex]6a ^{2} +2ab-6a^{2} -12ab[/tex]

Collect like terms.

[tex](6a^{2}-6a^{2})+(2ab-12ab)[/tex]

[tex]=-10ab[/tex]

OAmalOHopeO

Tina's book bag contains 12 fiction books and 4 non-fiction books. What percentage of the
books is non-fiction?

Help! Homework due at 6:30 help ASAP! Thank you!

Answers

25%

Step-by-step explanation:

# of non-fiction books ÷ # of total books = percentage of non-fiction books

4 non-fiction books + 12 fiction books = 16 total books

4 non-fiction books divided by 16 total books = percentage of non-fiction books

4÷16= 0.25

0.25 x 100 = 25%

Answer: 0.48 percent

Step-by-step explanation:

Alex wants to test the reliability of “lie detector tests,” or polygraph tests. He performs a polygraph test on a random sample of 12 individuals. If there is more than a 50% chance that the tests result in no false positives (that is, the test does not result in a true statement being recorded as a lie), Alex will conclude that the tests are reliable. If the probability of a lie detector test resulting in a false positive is 5.5%, what will Alex conclude? Use Excel to find the probability, rounding to three decimal places.

Answers

The correct statement is test is reliable and authentic as the probability of no false positives is more than 0.5

Given that

[tex]H_o:P= 0.50\\\\H_1:P>0.50[/tex]

Now following calculations to be done to reach the conclusion:

There is no false positive as

= 100 - 5.5

= 94.5%

[tex]\hat P =0.945, n = 12[/tex]

Now

[tex]z = \frac{\hat P - P}{\sqrt\frac{P(1-P)}{n} }\\\\=\frac{0.945-0.5}{\sqrt\frac{0.5\times0.5}{12} } \\\\= 3.08[/tex]

So

P value = P(z >3.08) = 0.0010

Therefore we can conclude that test is reliable and authentic as the probability of no false positives is more than 0.5

Learn more about the polygraph test here:

brainly.com/question/3790493

Can someone help me out

Answers

Answer:

34

Step-by-step explanation:

Perimeter,

2×(8+5+4)

= 34 units

Answered by GAUTHMATH

in a survey of Swami student it was found that 60% of student studies in math and 40% study science if 40% students study both the subject and 10% did not any of the subject by drawing of exam find the ratio of the number of students who is the distance to the total number of students​

Answers

Answer:

Step-by-step explanation:

150% = 150 ÷ 100 150% = 1.5

Can someone verify if this is correct?

I used cosec because the others didn’t work

Answers

Yes that’s correct. I’m doing flvs too!

solve for y.

y + 5.74 = 9.62

Answers

Answer:

3.88

Step-by-step explanation:

1. Subtract 5.74 from both sides of the equation

9.62-5.74=3.88

it’s 3.88 okkkkkkkkk

-1/2(6x+10)=13 please help I’m a lil confused on it

Answers

Answer:

x=-6

Step-by-step explanation:

-1/2(6x+10)=13

Distribute

-3x -5 = 13

Add 5 to each side

-3x-5+5 = 13+5

-3x = 18

Divide by -3

-3x/-3 = 18/-3

x=-6

solve the inequality and graph the solution

-5-7x < -40

Answers

Answer:

x > 5

Step-by-step explanation:

-5-7x < -40

Add 5 to each side

-5+5-7x < -40+5

-7x < -35

Divide by -7, remembering to flip the inequality

-7x/-7 > -35/-7

x > 5

Open circle at 5, going to the right

x^2-4x^2y^2+y^2+2*x*y

Answers

Answer:

(x + y - 2xy)*(x + y + 2xy)

Step-by-step explanation:

x^2-4x^2y^2+y^2+2*x*y

=x^2 + 2xy + y^2 - (2xy)^2

=(x + y)^2 - (2xy)^2

=(x + y - 2xy)*(x + y + 2xy)

PLS HELP ME RN I AM FAILING AND NEED HELP ITS PYTHAGOREAN THEOREM

Answers

Answer:

9.89949 or 9.9

Step-by-step explanation:

7^2 + 7^2 = c^2

49+49=98

square root of 98 = 9.89949

Pythagoren theorem is a^2 + b^2 = c^2

In this case 7^2 + 7^2 =c^2

49 + 49 = 98^2

But you dont want the second number squared so you find the square root if it. In this case square root 98 = 9.899494937

Since it say round to the nearest tenth however it will look more like this 9.9

Good Luck

Pamela is 14 years younger than Jiri. The sum of their ages is 52. What is Jiri's age?

Answers

Answer:

33

Step-by-step explanation:

Pamela-x

Jiri-x+14

x+x+14=52

2x=52-14

2x=38

x=19-Pamela

19+14=33-Jiri

check: 19+33=52

Answer: Jiri is 33 years old, and Pam is 19.

Step-by-step explanation:

Let's put Jiri as x, and Pam as y. We know that Pam's and Jiri's age =52. Pam is 14 years younger than Jiri(x)

You can model the situation by two equations:

y=x-14

x+y=52

Substitute y into second equation

x+x-14=52

2x=66

x=33

Jiri is 33

and back to the first equation

y=33-14=19, Pamela's age.

if tge angle at the center is 62° and the radius is 12 cm.. find the length of arc​

Answers

Answer:

Step-by-step explanation:

r = 12 cm

Theta = 62

Length of arc = [tex]\frac{theta}{360}*(2\pi r)[/tex]

                      [tex]=\frac{62}{360}*2*3.14*12[/tex]

                      = 12.98 cm

Help please, I need with the question​

Answers

Answer: [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

tangent of ∠PLM = [tex]\frac{opposite}{adjacent} =\frac{4}{3}[/tex]

Answer:

PLM=4/3

Step-by-step explanation:

¿Qué valor de m creará un sistema de líneas paralelas sin solución? y = mx - 6 8 x - 4 y = 12 Una cuadrícula de coordenadas con una línea etiquetada como 8 x menos 4 y es igual a 12. La línea pasa por un punto en (0, menos 3), (1, menos 1) y un punto en (1,5, 0). - 2 - 2

Answers

Answer:

Hello,

m=2

(0,-3) True

(1,-1) True

(1.5,0) True

(-2,-2) False

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y&=&mx-6\\8x-4y&=&12\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&mx-6\\y&=&2x-3\\\end{array}\right.\\\\\\The\ slope\ must\ be\ the\ same:\ m=2\\\\\\\begin{array}{c|c}&y=2x-3\\---&--------\\x&y\\0&2*0-3=-3\\1&2*1-3=-1\\1.5&2*1.5-3=0\\-2&2*(-2)-3=-7\\\end{array}[/tex]

Other Questions
Explain the relationship between pitch and frequency. _____ cannot be digested by human digestive enzymes. Group of answer choices Starch Fiber Maltose Glycogen Which of the following is an example of public speaking? Participating in a group discussion. Talking to your friends on the phone. Reading a story before a class. Practicing your speech in front of a mirro Am I right? Yes or no? Which of the following points lies on the line 2x+3y=5?A. (2,3)B. (2,1)C. (-2,3)D. (-2,0) what was an important debate during the constitutional convention opponents of comparable worth insist which one of these ideas support their position? need help with these problems asap!! (40 POINTS) Which linear function represents this table of values?A. y=16x+13B. y=23x+7C. y=32x3D. y=6x9x: y:3 99 1312 15 Song :- Destiny NeffexYeahI don't believe in destinyI just do what's best for meDon't listen to my enemiesThey're just full of jealousyDuhThis legacyYou gon see what's left of meYou gon see success in meYou ain't seen the rest of meI just wanna be the best at what I knowBetter than the rest just watch me growPut me to the test and watch me goThis is my quest, I'ma make it knownThey call me obsessive, oh I knowCall me selective with my notesCall me agressive with my flowCall me offensive even thoughSo we ain't gonna lie, life's toughTryna get by, life's roughTry to do it right, It's not enoughEven though you try you still mess upBut I'm still gonna fight for what I loveStill gonna die for what I loveStill gonna try, I won't give upStill gonna fight until I've wonThey say I'm way too obsessedAnd I've got nothing leftAnd I'm not quite there yetBut those words they'll regret'Cause I've got something leftAnd I'm not giving inI will not let them winI won't stop till the endNoI've been through some injuries, mentally and physicallyStudied them religiously so I don't repeat historyAnd people won't admit to me, they don't want a victoryBad enough to get a seat, they'd rather just go leave it beAnd oh, this journeyI've been on since thirteen, working hard and learningNever stopping searching, yeahIt's burning, all this passion hurts meI took action working, writing down these words heNo, I'm not okayI just wanna be somethingI don't wanna be nothingLiving all aloneNo, I'm not alrightI'm just barely getting byBut I'll tell you I'm just fineSo you leave me aloneThey say I'm way too obsessedAnd I've got nothing leftAnd I'm not quite there yetBut those words they'll regret'Cause I've got something leftAnd I'm not giving inI will not let them winI won't stop till the endNo Part B Using the area you found for the base of the tower, what is its approximate volume? Remember to include units in your answer. And the area of the base of the tower is 1,962.5 square feet. pls help The Truth Table Represents Statement P,Q,R Which statement is true for rows A, C and ER> (p^q)R>(p v q)(q^r)>p(q v r) >p a.Which of the following statements about empirical formulas is incorrect?An empirical formula represents a molecule.b. An empirical formula gives the smallest whole number ratio of each type of atomin a molecule.c. An empirical formula must be multiplied by an integer to obtain the molecularformula.d. The molecular formula can be the same as the empirical formula in some-situations.e.All statements are correct. Which of the following is a run- on sentence? A. They invented the art of giving Christmas presents; they were wise and gave wise gifts. B. They invented the art of giving Christmas presents, they were wise and gave wise gifts. C. They invented the art of giving Christmas presents. They were wise and gave wise gifts. D. They invented the art of giving Christmas presents, and they were wise and gave wise gifts. answer another question getting and ill give u brainlies How do you know where to place a decimal in a quotient? What is the atomic number of an oxygen atom that has 8 protons in its nucleus? 4 6 8 12 Whats for number 1 and 2? You have just finished reading chapter 7 of Things Fall Apart by Chinua Achebe. Upon seeing Okonkwo return from killing Ikemefuna, Nwoye felt something give way inside him. Write a narrative story from Nwoyes point of view emphasizing his feelings about Ikemefuna and Okonkwo at this moment. Your narrative should include imagined actions, thoughts, and dialogue, as long as they are consistent with and connected to the characters in the book Can someone please help me with this and tell me the points?