use linear combination method to solve the system of equations. explain each step of your solition. ypu must show all work to revieve dull credit!!!2x - 3y = 13x + 2y = -4

2x-3y=13 equation (1)
x+2y=-4 equation (2) 

multiply equation (2) by -2
-2x-4y=8 now we got equation (3)

Add equations(1) and (3) and combine like terms
2x-2x-3y-4y=13+8
-7y=21
y=-21/7= -3

substitute y with -3 in equation (2) and solve
x+2(-3)=-4
x-6=-4
x= -4+6
x=2

the solution for the system of equations is x=2, y= -3