2x - 2y = 6

Question

3x + 2y = 9

Solve the system of equations.
Responses
A x = 0, y = 3x = 0, y = 3
B x = 3, y = 0x = 3, y = 0
C x = 1, y = -2x = 1, y = -2
D x = -2, y = 1x = -2, y = 1
E x = 6, y = 3

Answer 1

To solve this system of equations, we can use the method of elimination.

First, we can eliminate the variable y by adding the two equations together.

Adding the equations, we get:

2x - 2y + 3x + 2y = 6 + 9

Simplifying, we get:

5x = 15

Dividing both sides by 5, we get:

x = 3

Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation:

2(3) - 2y = 6

Simplifying, we get:

6 - 2y = 6

Subtracting 6 from both sides, we get:

-2y = 0

Dividing both sides by -2, we get:

y = 0

Therefore, the solution to the system of equations is:

x = 3, y = 0

So the answer is B: x = 3, y = 0