Answer:
(-5, -2)
Step-by-step explanation:
Pre-Solving
We are given the following system of equations:
2x - 8y = 6
10x - 8y = -34
We want to solve it using linear combination. We will add (or subtract) the equations together to clear one of the variables, then solve for the other variable. Then, use the value of the variable found to find the value of the other variable.
Solving
Notice how both equations have -8y in them. This means that if we subtract one of the equations from the other, we can clear the -8y.
2x - 8y = 6
-(10x - 8y = -34)
___________
-8x = 40
Divide both sides by -8
x = -5
Now, substitute -5 into either 2x - 8y = 6 or 10x - 8y = -34:
2(-5) - 8y = 6
-10 - 8y = 6
-8y = 16
y = -2
So, the answer is x = -5, y = -2. As a point, it's (-5, -2).
