Use the elimination method to solve the system of equations. choose the correct ordered pair. 2x-3y=4 5x+2y=-9

(-1,-2)

Step-by-step explanation:

2x-3y=4

5x+2y=-9

multiply the first equation by 5 and the second equation by -2 to eliminate x

5*(2x-3y) = 5*4            -2* (5x+2y) = -2*9

10 x -15y = 20             -10x -4y = -18

add them together

10 x -15y = 20

-10x -4y = 18          

-19y = 38

divide by -19

y = -2

substitute y back into

2x -3y = 4

2x - 3(-2) = 4

2x +6 = 4

subtract 6 from each side

2x = -2

divide by 2

x = -1

(-1,-2)

step-by-step explanation: