Solve the system of equations.
y = 7x + 43
y = 2x + 13

If you would like to solve the system of equations, you can do this using the following steps:

y = 7 * x + 43
y = 2 * x + 13

7 * x + 43 = 2 * x + 13
7 * x - 2 * x = 13 - 43
5 * x = - 30    /5
x = - 30 / 5
x = - 6

y = 7 * x + 43 = 7 * (- 6) + 43 = - 42 + 43 = 1

Put the equations on top of each other and subtract. This will eliminate one variable.

y=7x+43
y=2x+13
_______
0=5x+30

Subtract 30 on both sides.

-30=5x

Divide by 5 on both sides.

x=-6

Substitute x=-6 back into one of the equations to find y.

y=2(-6)+13

Multiply 2 and -6.

y=-12+13

Add.

y=1