Solve each system by graphing, check your answer

Y=3x+13

Y=x-3

x = - 8

Y = - 11

Step-by-step explanation:

Given

Y = 3x + 13

Y = x - 3

Substitute x - 3 for Y in the first equation

We have

Y = 3x + 13

x - 3 = 3x + 13

Add 3 to both sides

x - 3 + 3 = 3x + 13 + 3

x = 3x + 16

Subtract 3x from both sides

x - 3x = 3x - 3x + 16

-2x = 16

Divide both sides by - 2

x = 16/-2

x = - 8

Now substitute - 8 for x in any of the above equations to get Y.

Using the second equation, we have

Y = x - 3

Y = - 8 - 3

Y = - 11