-6x + 8y = -6
7x -10y = 9
Let's eliminate the Y values by multiplying each equation by a number to make the coefficients of Y opposite.
-6x + 8y = -6 x 5 = -30x +40y = -30
7x -40y = 9 x 4 = 28x - 40y =36
Now add the two equations together:
-30x + 28x = -2x
40y +-40y = 0
-30 + 36 = 6
Now you have:
-2x = 6
Divide both sides by -2:
x = 6 / -2
x = -3
The answer is -3