Question

What is the solution to the system of equations represented by the two equations?

y=-2x + 7
y=1/3x

(?,?)

Answer 1

To solve a system of equations, you must first set the equations to equal "y" (which has already been done in this problem), and then set them to equal each other. This can be done because both of your equations equal"y", so they both equal each other.
-2x + 7 = 1/3x
7 = 1/3x + 2x
2 1/3x = 7
x = ~3
The answer is a long decimal with the first four places 0, so I rounded...
Hope that helps:)