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