8x = 6y+88

2x+2y = -6

8x - 6y = 88

2x + 2y = - 6

8x - 6y = 88

-8x - 8y = 48

-14y = 136

y = - 9

2x + 2 (-9) = - 8

2x - 18 = - 8

2x = 10

x = 5

(5, - 9)

Answer: x = 5, and y = - 8

Step-by-step explanation:For the set of simultaneous linear equations given, we shall apply the elimination method. This is because both the x and y variables have coefficients greater than 1.

In order to eliminate the x variable, we shall multiply equation one by 2, and then multiply equation two by 8.

After that we arrive at,

16x - 12y = 176 (3)

16x + 16y = - 48 (4)

We now have equations (3) and (4)

Next we subtract equation (4) from equation (3)

16x - 12y = 176

-

16x + 16y = - 48

0 - 28y = 224

{Note that, - 12y - (+16y) = - 28y} and {176 - (-48) = 224}

-28y = 224

Divide both sides of the equation by - 28

y = - 8

Now we can substitute for the value of y = - 8 in equation (2)

2x + 2y = - 6

2x + 2 (-8) = - 6

2x - 16 = - 6

Add 16 to both sides of the equation

2x = - 6 + 16

2x = 10

Divide both sides of the equation by 2

x = 5

Therefore x = 5 and y = - 8