Use the linear combination method to solve the system of equations. explain each step of your solution. 2x-3y=13 x+2y=-4

hey

given :

2x - 3y = 13 ( 1 )

x + 2y = -4 ( 2 )

now multiply the second equation with 2

2x - 3y = 13 ( 1 )

2 ( x + 2y ) = 2 ( -4 ) ( 2 )

2x - 3y = 13 ( 1 )

2x + 4y = - 8 ( 2 )

now subtract the the second equation from the first

2x - 3y = 13 ( 1 )

- ( 2x + 4y ) = -( - 8 ) ( 2 )

2x - 3y = 13 ( 1 )

-2x - 4y = 8 ( 2 )

combine them

-7y = 21

y = -3

now substitute this to get the x value.

x + 2y = -4

x -6 = -4

x = 2

hope my answer !