solve each system of linear equations 3x+y=9, 7x+y=32 ​

Answers

Answer 1

Answer:

x=23/4, y=-33/4

Step-by-step explanation:

3x+y=9

7x+y=32

3x+y=9

y=9-3x

7x+y=32

7x+(9-3x)=32

7x+9-3x=32

4x+9=32

4x=23

x=23/4

3x+y=9

3(23/4)+y=9

69/4+y=9

y=-33/4

Answer 2

The solution set to the given system of linear equations is -

{x} = 5.75 and {y} = - 8.25.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is a system of linear equations as -

3x + y = 9

7x + y = 32 ​

We can write -

3x + y = 9

y = 9 - 3x

Now, we can write the equation as -

7x + y = 32

7x + 9 - 3x = 32

4x + 9 = 32

4x = 23

x = 5.75                         .... (1)

The, we can write {x} as -

y = 9 - 3 x 5.75

y = 9 - 17.25

y = - 8.25                         ... (2)

Therefore, the solution set to the given system of linear equations is -

{x} = 5.75 and {y} = - 8.25.

To solve more questions on algebraic expressions, visit the link below -

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Related Questions

Which graph represents a function?

Answers

Answer:

just the first on. upper left corner

the circled one (the first one)
it goes through the center (0,0) and it’s a straight line.

a forrest covers an area of 2400 km^2. if each year the area decreases by 8.5%, what will the area be after 14 years? round answer to nearest square kilometer. (please explain how you get the answer so i can do future questions myself! thank you :) )

Answers

Answer:

1581.62810745 square km

Step-by-step explanation:

P = Initial Area = 2500 square km.

r = rate of decreasing = 8.75%

n = number of years = 5 years

A = 2500 ( 1 - 8.75/100)^5

A = 2500 {(100–8.75)/100}^5

A = 2500 (91.25/100)^5

A = 2500 (0.9125)^5

A = 2500 * 0.63265124298

A = 1581.62810745

Identify the parent function. 5 -5 5 -5 A. Cube root​

Answers

The answer is:

A.) Square Root

-6
Which graph represents function g if g(x)= f(2x)

Answers

Answer:

2

Step-by-step explanation:

Which of the following is an example of a ratio variable?

A-Martha is the same gender as Ruth

B-Mary's IQ is 115 and Janet's is a 90, which means Mary's IQ is slightly higher than Janet's

C-Sam is twice the age of his son

D-George and Harry attend religious services about the same amount

Answers

I think c so like it would be Sam age=2x and let’s say is son was 16 he would be 32

Simplify. x+y -x²-y²/x-y

Answers

X=222 y=58 nngvvhhydvkuvv

A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L)

Answers

Answer:

Step-by-step explanation:

Which is an example of incompatible goals?
A. Your parents want to take family photos, but you already have
plans with friends that day.
B. Your teacher gives you an assignment you did not expect.
C. A friend does not agree with your opinion on a topic.
D. Your uncle enjoys fishing, but you do not believe in killing animals.

Answers

1st answer, read it and then compare it to the other answers, it’s asking who cuz is not compatible with goals, first is the only one about goals or something your parents didn’t want TO DO. Sorry if I’m wrong

A board is 81.28 centimeters long. How long is the board in inches? Use the following conversion: 1 inch is 2.54 centimeters

Answers

32 inches. Divide 81.28 by 2.54.

On a human, what is the ratio of arms to fingers?

Answers

Total arms in human body=2Total fingers in human body =5+5+5+5=20(10 of hands and 10 of legs)

Ratio:-

[tex]\\ \sf\longmapsto \dfrac{2}{20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{10}[/tex]

[tex]\\ \sf\longmapsto 1:10[/tex]

please someone help me this is the third time i have had to post this question bc of bots

Answers

Answer: It,ll increase

Step-by-step explanation:

Answer:

Add all of the numbers together then multipy them by 25

Step-by-step explanation:

35X25=875

this is long division… please help

Answers

Right to get 4 many times in the 834 than right the number on top but it can't be greater hope it helps ☺️

Find the quotient.
32 ÷ 0.08

Answers

Answer:

The quotient of the equation is 400

Answer:

hi

Step-by-step explanation:

the correct answer is 400

The cost C to produce x number of tennis rackets is C = 190 + 18. The tennis rackets are sold wholesale for $23
each, so revenue R is given by R = 23x. Find how many tennis rackets the manufacturer needs to produce and
sell to break even.
38 tennis rackets or
43 tennis rackets or
19 tennis rackets or
33 tennis rackets

Answers

Answer:

19 tennis rackets

Step-by-step explanation:

Is 3x - y = -6 an equation for this graph? EXPLAIN how you know. Hint: try a test point like the the y-intercept to see if it makes a true statement.

Answers

You didn't provide any graphs.

The Suarez family paid $16.00 for 4 movie tickets. How much would they have paid for 12 tickets?

Answers

Answer:

$48

Step-by-step explanation:

Each ticket costs 4 dollars.

PLEASE HELP:
Check for understanding:

Answers

Answer:

P = 106

A = 330

Step-by-step explanation:

= 2(l+w) (perimeter of rectangle)

= 2·(18+15)

= 66

picture below of perimeter of right angle triangle

Add both values

P= 66 + 40

P = 106

= w*l (Area of rectangle)

=15·18

= 270

= ab/2 ( Area of triangle )

= 8·15/2

=60

Add both values

A = 60 + 270

A = 330

I hope it helps

I need help with problem.

Answers

I believe it is reflection across y=-2

Answer:

Reflection across the x-axis

Step-by-step explanation:

Rule of thumb: If the figure is diagonal, it is x-axis, but if it is horizontal, it is the y-axis.

Which is a composite number? A.97 B.89 C.95 D.13

PLEASE I REALLY NEED THE CORRECT ANSWER RIGHT NOW!!!!​

Answers

Answer: C. 95 is a composite number.

Step-by-step explanation:

You can look at the ones place of each number to see if any end in 0, 2, 5, or any other digit that indicates that the number is not prime. Since 95 ends in a 5, it can be divided by 5, making it have more factors than 1 and itself. Therefore, 95 is the composite number of the list of numbers.

Answer:95

Step-by-step explanation:composite numbers are numbers that have more factors than 1 and itself, factors are numbers you can multiply to get a number. 95 is a composite number since 1,95, AND 5 are all factors of 95 making it a composite number

(9/5)^3

I have no idea

Answers

Answer:

5.832

Step-by-step explanation:

Find the measure of x.
48.99
138
X
x = [?]
Round your answer to the nearest tenth.
Enter

Answers

Tan(48.9) = x/138

X = 138 x tan(48.9)

X = 158.2

s.p. is 4000, profit is 25% than find c.p.please explain itt​

Answers

Selling price = 4000Profit = 25%We know, [tex]\sf cost \: \: price \: \: = \frac{100}{100 + profit\%} \times selling \: \: price \\ [/tex]Therefore, cost price

[tex] \sf= \frac{100}{100 + 25} \times 4000 \\ = \frac{100}{125} \times 4000 \\ = \frac{4}{5} \times 4000 \\ = 4 \times 800 \\ = 3200[/tex]

[tex] \huge \sf \: Answer[/tex]

The cost price is 3200.

Hope you could get an idea from here

Doubt clarification- use comment section.

) The price of broccoli is $1.25 per pound. Let y be the total cost in dollars of buying a pounds
of broccoli
.) Which equation represents this situation?
y = 1.252
• Which graph represents the situation?
Broccoli Prices
Broccoli Prices
Broccoli Prices
(4,5)
.
(3.4.5)
15
15
(5.
(3.3.75
(2,3)
(3.75,3)
(2.2.5)
3
5 25
8 2
(2.5.2
1.5 (1.1.25)
(1.1.5)
(0.5, 0.75)
(1.25.1)
0.5
0.5
0 05 1 1.5 2 25 3 3.5 4 US 5
Amount of Broccoli (b)
0 0.5 1 1.5 2 2.5 3 3.5 4 155
Amount of Broccoli (b)
0 05 1 15 2 2.5 3 3.5 5 5
Amount of Broccoli (b)
DONE

Answers

Answer:

The graph that represents the situation is A

Step-by-step explanation:

In a computer tape library there are two racks with 50 tapes per rack. On Monday there are 35 tapes in use, on Tuesday 60, and on Wednesday 25. What fraction on the average is in use for the 3 days

Answers

Based on the number of tapes used on those days and the number of tapes in the rack, the fraction on the average used was 2/5

The average tapes used in those 3 days was:

= (35 + 60 + 25) / 3

= 120 / 3

= 40 tapes

The total number of tapes that can be used are:

= 50 + 50 per rack

= 100 tapes

The fraction of the average is:

= 40 / 100

In the lowest term this is:

= 2 / 5

In conclusion, the fraction is 2/5

Find out more about fractions at https://brainly.com/question/233783.

A researcher testing a hypothesis that the population mean is 25 takes a sample of size 36 and obtains a sample mean of 23 with an estimated standard error of 4. What is the observed value of the test statistic

Answers

Answer:

The test statistic is 23

Step-by-step explanation:

Best way to understand this is to think of a sample and it's purpose;

You take a sample to get information that can be extrapolated to apply to the whole population;

So, for example, you have a factory making light bulbs, and you want to find out how long they last;

You would take a number of light bulbs from the production line, i.e. a sample, and test these;

It would be impossible to test every light bulb as this would take too long and there would be none left unused to sell, i.e. it would not be feasible or viable to do;

You would then find a mean of these times from the sample, and then extrapolate and assume it to be the duration of any light bulb coming off the production line;

The sample is the handful of light bulbs chosen to test;

The test statistic refers to the quantity or value, calculated from the sample data, this would be the mean light bulb duration in the light bulbs example;

Similar and yet different to a test statistic, a population parameter refers to a quantity or value calculated from population data;

A population refers to all members of a particular group of objects/items, so in the example, it would be all the light bulbs produced;

The population parameter would refer to the mean calculated based on data from the population (i.e. all the light bulbs produced);

Realistically, it is impossible to determine a population since it would be unviable in the practically all cases, as we can see in the example;

This value is almost always theoretical and would be assumed from a test statistic in any real scenario.

What’s the 16th term for 32,27,22,17

Answers

Answer:

-43

Step-by-step explanation:

By staring at it for a while you can tell that you're losing 5 every step. You can write the succession as [tex]a_n = 32-5n[/tex] (please notice the first terms starts when [tex]n=0[/tex], not 1!). The 16th term happens at [tex]n=15[/tex]:

[tex]a_1_5=32-5(15) = -43[/tex]

y<-2/3 x-1 graphing the inequality

Answers

Answer:

y  <  −  2/3x  −  1

Step-by-step explanation:

1/2 x 1 1/3 x 2=?
please help on this

Answers

1/2 x 11/3 x 2 = 3.666666666666667

PLEASE HELP ME NOW!!! I WILL MARK U AS BRAINLIEST

Answers

[tex]\huge \bf •Answer •\\ [/tex]

1188 g

[tex]\huge \bf •Solution •\\ [/tex]

We know,

[tex]\sf \dfrac{mass \: \: of \: \: solute}{mass \: \: of \: \: solution} \times 100= concentration \: \: of \: \: solution \\ = > \sf \dfrac{mass \: \: of \: \: solute}{mass \: \: of \: \: solute + mass \: \: of \: \: solvent} \times 100= concentration \: \: of \: \: solution[/tex]

Given, concentration of solution = 1%

Mass of sugar (solute) = 12 g

Let the mass of water (solvent) be x.

Therefore,

[tex]\sf \dfrac{12g}{12g + x} \times 100= 1 \\ \sf = > 1200g= 12g + x \\ \sf= > (1200 - 12)g = x \\ \sf = > x = 1188g[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Help help help math math help

Answers

Answer:

63°

Step-by-step explanation:

Angle 2 is congruent in angle that has 63°

Refer to the attached pic

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