Solve the system of equations below.

7x+6y=-10

-2x+y=11

[1] 7x + 6y = - 10

[2] - 2x + y = 11 - - > y = 11 + 2x

Replacing [2] in [1]

7x + 6 (11 + 2x) = - 10

7x + 66 + 12x = - 10

7x + 12x = - 10 - 66

19x = - 76

x = - 76/19

x = - 4

Replace x=-4 in [1]

7 (-4) + 6y = - 10

-28 + 6y = - 10

6y = - 10 + 28

6y = 18

y = 18/6

y = 3

Checking solutions in [2] x=-4, y=3

-2x + y = 11

-2 (-4) + 3 = 11

8 + 3 = 11

11 = 11