Question 466828
Since both equations are already simplified, all we need to do is substitute one of the equations into the other. I'll plug in the y value, but the problem could be solved either way.
y-6=x
(-x+8)-6=x
-x+8-6=x
Then, we can add x to both sides of the equation.
-x+8-6+x=x+x
8-6=2x
Next, we can subtract the two terms on the left side of the equation.
2=2x
Finally, we can divide both sides by 2.
1=x
We can plug this value into either equation to find the value of y.
-x+8=y
-1+8=y
7=y
So, the solution is (1,7).