Find the solution of the system of equations. 9x +y = 28 3x + 3y = -12​

Answers

Answer 1

Answer:

x is equal to four, and y is equal to negative eight.

Step-by-step explanation:

Let's solve it rearranging the first equation to define y:

9x + y = 28

y = 28 - 9x

Now we plug it in to the second equation:

3x + 3y = -12

3x + 3(28 - 9x) = -12

And solve for x:

3x + 84 - 27x = -12

-24x = -96

x = 4

Now we can plug that x value into one of the original equations to find the value of y

9x + y = 28

36 + y = 28

y = 28 - 36

y = -8

Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:

3x + 3y = -12

3x + 3(-8) = -12

3x - 24 = -12

x - 8 = -4

x = 4

So we know our answer is correct.


Related Questions

Lee filled several jars with 1/4 cup of water in each jar .He used a total of 8 cups of water. Let j represent the number of jars that Lee filled. Write and Solve an equation to find out how many jars lee filled.

Answers

Answer: 32

Step-by-step explanation:

8x4 = 8 / 0.25

Help!!!!!! Find x and y so the quadrilateral is a parallelogram.

Answers

Answer:

Conclusion:

The value of x = 7The value of y = 4

Step-by-step explanation:

Given

The parallelogram PQRS

We know that the diagonals of a parallelogram bisect each other.

Therefore,

RT = TP

Given RT = x and TP = 5x-28, so

x = 5x-28

5x = x+28

5x-x = 28

4x = 28

divide boh sides by 4

4x/4 = 28/4

x = 7

Thus, the value of x = 7

Similarly,

QT = TS

Given QT = 5y and TS = 2y+12, so

5y = 2y+12

5y-2y = 12

3y = 12

divide both sides by 3

3y/3 = 12/3

y = 4

Thus, the value of y = 4

Conclusion:

The value of x = 7The value of y = 4

WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP

Answers

Answer:

B

Step-by-step explanation:

The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept

Answer:

A.

Step-by-step explanation:

It starts from 32 on the y-axis and goes up 4 times on x-axis.

17)
Let X = {x | x is a whole number less than 10}, Y = {yly is an even number}
What is XnY?
A)
{0, 2, 4, 6, 8}
B)
{1, 2, 3, 4, 5, 6, 7, 8, 9}
C){1,3,5,7,9)
D)
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Answers

Answer:

answer of XnY where Y is an even no and X is a whole number less than 10 is

A {0,2,4,6,8}

Answer:

Step-by-step explanation:

The ratio : y is 3:1
Which of the following statements is correct?
A x is 3/4 of y
B y is 1/3 of x
c x is 1/3 of y
D y is 1/4 of x​

Answers

Answer:

y is 1/3 of x

Step-by-step explanation:

x:y is 3:1

mathematically, we have this as;

x/y = 3/1

x = 3y

or y = x/3

So the correct answer is that y is 1/3 of x

(-81) + 70=
Uhhhh answer someone-

Answers

Answer:

-11

Step-by-step explanation:

What is the result when the number 5 is increased by 20%?

Answers

Answer:

6.0

Step-by-step explanation:

20% of 5 is 1, so you simply add 1 to 5 and you get this result:

5 + 1 = 6

Hope this helps

While on vacation in Rockport, Shawn went out for a dinner that
cost $50. If sales tax in Rockport is 6% and Shawn left an 18% tip on $50, what was the total cost of his meal?

Answers

62 dollars hope this helps

Who earns more per hour, and what is his or her pay rate?

Answers

It would be B because 34.50 divided by 3=11.50 which is more than Amina

Hope this helps

Have a great day/night

Can someone help me with this?​

Answers

The answer is C!! Hope this helps!!!:))))

the giraffe is the worlds tallest land mammal. if the scale is 1/2 inch represents 5 feet . the giraffe is 20 feet tall . how many inches is the giraffe?

Answers

Answer:

The giraffe will be 2 inches

Step-by-step explanation:

If we know that if the scale is 1/2 inch to 5 feet we simply just have to divide the height of the giraffe by 5 feet and then multiply it by 1/2 inches. So we do...

20feet / 5 feet x 1/2 inches = 4 x 1/2inches = 2 inches

help pls!! i will give you brainliest

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

y is less than or equal to 2

Step-by-step explanation:

the shading area is under Y=2

Pls help, SHOW WORKINGS/ explain

Answers

Answer:

C. corresponding angles

Step-by-step explanation:

I think this because 1 and 5 are on the same side and they're angles formed by the transversal line that cuts across

Brandon has a collection of 400 marbles. Of these marbles, 15% are red, 40% are blue, and the rest are purple. How many marbles in Brandon's collection are purple?

Answers

Answer:180

Step-by-step explanation:

Since 15% of 400=60 and 40%=160 the total of this combined is 220. 400-220=180 which is the amount of purple marbles


Landen's front lawn measures 20 feet by 80 feet. He counts to find that there are
120 blades of grass per square inch. How many blades of grass are in the entire
lawn?

Answers

Answer:

[tex]27,648,000[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex]. Landen's 20 feet by 80 feet front lawn therefore has an area of [tex]20\cdot 80 = \fbox{$1600\: \mathrm{ft^2}$}[/tex].

He counts there are 120 blades of grass per square inch. There are [tex]12^2=144[/tex] square inches in one square foot.

Therefore, his lawn has an area of [tex]1600\: \mathrm{ft^2}\cdot \frac{144\:\mathrm{in^2}}{1\:\mathrm{ft^2}}=230,400\:\mathrm{in^2}[/tex].

Thus, there are [tex]230,400\:\mathrm{in^2}\cdot 120=\fbox{$27,648,000$}[/tex] blades of grass in the entire lawn.

A calculator is listed for $110 and is on clearance for 35% off. Sales tax is 7%. What is the cost of the calculator? ​

Answers

Answer:

$76.51

Step-by-step explanation:

I found how much the calculator cost on clearance first. Then I found the sales tax and added them together.

-10 = -0.2k

k = ?

solve for k

Answers

k=50
-10/-0.2 =50
so 50=k

Answer:

-10 = -0.2k

we multiply both sides by 5

-50 = -k

k = 50

Step-by-step explanation:

Hey I need some help here!
6x +2 (5x -6)

Answers

Answer:

1 6  −  1 2

Step-by-step explanation:

im pretty sure :OO if it's wrong im sorry :((

help me on this pleasseeee

Answers

Answer:

1) E and F

Step-by-step explanation:

So width is x

legth Is 3x+3

Perimeter is

3x+3+3x+3+x+x

Now simplify

8x+6

Now go through each choice that equals 8x+6

Only e and f

Pls help and show workings
It due 30 mins

Answers

I think the answer is B. Hope this helps

Answer:

95°

Step-by-step explanation:

Well first draw a parallel to p, let's say r

so we have that

[tex]\angle 2+\angle3=\angle1[/tex]

and

[tex]\angle y=148\\\\\angle x +63=180\\\\\angle x=117[/tex]

so now by internal angles of parallels we know that

[tex]\angle x +\angle 2 = 180\\\\\angle y +\angle 3 = 180[/tex]

which is

[tex]117+\angle 2 = 180\\\\\longrightarrow \angle 2 = 63\\\\148+\angle 3 = 180\\\\\longrightarrow \angle3=32[/tex]

so

[tex]\angle 1 = 63+32\\\\\angle 1 = 95[/tex]

PLEASE HELP ME FAST!!! Monica's bicycle wheel has a radius of 16 inches. Kevin's tricycle wheel has a radius of 8 inches. How many times larger is the circumference of Monica's wheel that the circumference of Kevin's tricycle wheel? Show your work

Answers

Answer:

50.2 inches

Step-by-step explanation:

The wheel of a tricycle is circular in shape.

The circumference of a circle = 2πr

For Monice

Monica's bicycle wheel has a radius of 16 inches.

The circumference of her bicycle wheel = 2 × π × 16

= 100.53096491 inches

Approximately = 100.5 inches

For Kevin

Kevin's tricycle wheel has a radius of 8 inches.

The circumference of his wheel =

2 × π × 8

= 50.265482457 inches

Approximately = 50.3 inches

How many times larger is the circumference of Monica's wheel that the circumference of Kevin's tricycle wheel?

This is calculated as:

Circumference of Monica's wheel - Circumference of Kevin's wheel

= 100.5 inches - 50.3 inches

= 50.2 inches

Hence: Monica's wheel is 50.2 inches larger than Kevin's wheel

Answer: All I know is I got a 1/2 points on my open ended question. Monica’s bicycle wheel is 2 times larger than Kevin’s.

Step-by-step explanation: I think you add or multiply or divide. I gotta figure it out myself.

A diver went down 25.55 feet below the surface of the ocean, and then 11.5 feet further down, he then rose 12.25 feet. Enter and solve an expression to find the diver's new depth.

Answers

Answer: it would be 24.8ft

The answer above is correct

HELP NEEDED ASAP!!!!!

Which point IS a solution?
A: (0,6)
B: (-3,4)
C: (1,0)
D: (-4,3)

Answers

Answer: (-3, 4)

Step-by-step explanation:

The point at which both lines intersect is (-3, 4)

And since they intersect at ONE point, it just has one solution.

Hope I helped!

Mia buys a house for $95,500, restores it, and then sells it for $126,060. Find the percent of change.

Answers

Answer:

32%

Step-by-step explanation:

(126060$-95500)/ 95500

30560/95500×100%

32%

GIVING 50 points
FIND THE VALUE OF X
PLEASE HELP WITH WORK AND STEPS SHOW THANK YOU

Answers

Answer:

Step-by-step explanation:

1. 10^2+7^2=x^2

x=sqrt(149)

2. 21^2-19^2=x^2

x=sqrt(80)

3. This is all pythagorean theorem busywork, a^2+b^2=c^2 where c is the hypotenuse of the triangle.  I think from my examples you should be able to figure the rest out.

please help, choose the correct equation

Answers

Equations 4 and 5
Hope this helps

How does hiphop use energy as a element of dance PLEASE ANSWER

Answers

Answer:

Energy can happen with movement. Dance requires a bunch of movement.

dancing is the use of force, tension, and weight.

find the value of x ​

Answers

Answer:20

Step-by-step explanation:

x=20(congruent side)

Hope it helped you.

Plz mark me brainliest.

Arianna buys computer games from an online store. Each game she orders costs $25, and shipping for her total order is $10. Arianna wants to spend $110. How many computer games can Arianna buy? Create an equation for the problem here.

Answers

Answer:

She can order 4 computer games.

Step-by-step explanation:

110-10=100

100÷25=4

Linear or nonlinear

Answers

Answer:

Linear

Step-by-step explanation:

Linear is a straight graph

Answer:

Linear

Step-by-step explanation:

The easiest way to recognize this from a graph is that its a straight line. If not then its non linear. If you aren't given a graph to go off of another way is to see if it has a constant rate of change, if it does its linear.

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