Answer: (2,2)
Step-by-step explanation:
The solution of the system of equations is the intersection point, or the point where both lines meet. Looking at the graph, we see that the blue and red line meet at (2,2). That means the solution is (2,2).
We can also solve this algebraically. Since we are given that y=x, we can plug that into the equation and solve.
y+2y=6 [combine like terms]
3y=6 [divide both sides by 3]
y=2
Since we are told that y=x, we know that x is also 2. This tells us that the solution is also (2,2).
