Question

Solve the system of equations.

Answer 1

Answer:

x=3

y=0

Step-by-step explanation:

   2x-2y=6

+  3x+2y=9

5x=15

x=3

2(3)-2y=6

6-2y=6

-6      -6

-2y=0

y=0

Answer 2

Answer: (3, 0)

Explanation: Let's solve this system of equations by addition.

To solve this system of equations by addition, our first goal is to cancel out one of the variables by adding the two equations together.

Notice that if we add these two equations together, our -2y and +2y will cancel out. On the left, 2x + 3x is 5x and on the right, 6 + 9 is 15.

So we have 5x = 15.

Dividing both sides by 5, x = 3.

To find y, simply plug a 3 back in for x in either one of the two given equations. Let's go with our second equation.

If we plug a 3 back in for x, that gives us 3(3) + 2y = 9.

This simplifies to 9 + 2y = 9 and subtracting

9 from both sides gives us 2y = 0.

Now, dividing both sides by 2, we find that y = 0.

So x = 3 and y = 0 and put your answer in the form

of the ordered pair (3, 0).