Question

Which set of coordinates satisfies the equations x − 2y = -1 and 2x + 3y = 12? A. (1, 2) B. (3, 1) C. (3, 2) D. (-3, -2) E. (3, -2)

Answer 1

Answer:

(3,2)  Choice C

Step-by-step explanation:

x-2y = -1

2x+3y =12

multiply the first equation by -2

-2x +4y = 2

add the 2 equations together

2x+3y =12

-2x +4y = 2

-----------------

7y         =14

divide by 7

y =2

x-2y = -1

x -2(2) = -1

x-4 = -1

add 4 to each side

x = 3

(3,2)