Answer
(2,2)
Work Step by Step
For this problem,
Equation 1: 2x + y = 6
Equation 2: -x + y = 0
For substitution we need to solve for a variable. In this problem, we will solve for y in Equation 2 to get Equation 3:
y = x (Equation 3)
We then substitute that into Equation 1 and solve for x:
2x + x = 6
3x = 6
x= 2
We then use Equation 3:
y = 2
Therefore (2,2) is a solution. Furthermore, the two graphs cross at (2,2), so the answer is confirmed.
