Solve the system of linear equations by elimination.

3x+2y=3

3x-2y=-9

What is x and what is y?

3x+2y=3

3x-2y=-9

6x=-6

x=-1

3 (-1) + 2y=3

-3+2y=3

2y=6

y=3

( - 1, 3)

Step-by-step explanation:

Given the 2 equations

3x + 2y = 3 → (1)

3x - 2y = - 9 → (2)

Adding the 2 equations term by term will eliminate the term in y

(3x + 3x) + (2y - 2y) = (3 - 9), that is

6x = - 6 (divide both sides by 6)

x = - 1

Substitute x = - 1 in either of the 2 equations and solve for y

Substituting in (1)

3 ( - 1) + 2y = 3

- 3 + 2y = 3 (add 3 to both sides)

2y = 6 (divide both sides by 2)

y = 3

Solution is ( - 1, 3)