Solve the system of equations. 6x-5y=-32, - 7x+8y=46

x = - 2

y = 4

Step-by-step explanation:

6x-5y=-32

-7x+8y=46

Solve for x in the first equation.

6x = - 32 + 5y

x = (-32 + 5y) / 6

x = 5/6y - 16/3

Put x as 5/6y - 16/3 in the second equation and solve for y.

-7 (5/6y - 16/3) + 8y = 46

-35/6y+112/3 + 8y = 46

13/6y + 112/3 = 46

13/6y = 46 - 112/3

13/6y = 26/3

y = 26/3 * 6/13

y = 4

Put y as 4 in the first equation and solve for x.

6x-5 (4) = -32

6x-20 = - 32

6x = - 32+20

6x = - 12

x = - 12/6

x = - 2