Answer:
(-1,-2)
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)