Question

solve the system

y=x+3
y=-3x+7

Answer 1

Here is one way to solve this system of equations.

Substitute x+3 for y in the second equation.

x + 3 = -3x + 7

Now solve for x:
x + 3x = -3 + 7
4x = 4
x = 1

Therefore, y = 4

Check both equations to see if the solutions work. It always helps to check your work!