SOLUTION: What is the solution to the system of equations y = 2x and y = -x + 3?

Question 717033: What is the solution to the system of equations y = 2x and y = -x + 3?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
With not just one but both equations already "solved for y", this system is an ideal candidate for using the Substitution Method. The first equation says the y = 2x. Substituting 2x for the y in the other equation we get:
2x = -x + 3
Now we solve for x. Adding x to each side:
3x = 3
Dividing by 3 we get:
x = 1
Now we use this value for x and either of the original equations to find the y value:
y = 2(1)
So y = 2
The solution is the point (1, 2)
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