Question

Which point represents the solution to the system

3x-2y=12
2x+2y=3

a. (2,-2/3)
b. (3,-3/2)
c. (3,-2)
d. (2,2)

please explain how you got your answer.

Answer 1

b

Explanation:

`3x - 2y = 12 \\ 2x + 2y = 3 \\ 2y = 3 - 2x \\ 3x - (3 - 2x) = 12 \\ 3x - 3 + 2x = 12 \\ 5x = 15 \\ x = 3 \\ 2y = 3 - 6 = - 3 \\ y = - (3)/(2)`

(3, -3/2)