Question

If you chose to use substitution to solve this system what should your equation look

like?
y=5x-5
y= -4x+22

Answer 1

Substitution-

Explanation:

y=5x-5

y= -4x+22

1- use y=5x-5 solve for y (here you don't really have to do anything)

This stays the same, Therefore y = 5x-5

2- you will substitute y=5x-5 for y in y= -4x+22. The problem should now look like this:

5x-5= -4x+22

Solving for x

now, with the equation above you will solve for x-

5x-5= -4x+22 (add 4x to both sides)

9x-5= 22 (add 5 to both sides)

9x=27 (divide by 9)

x=3

Solving for y

Now that you Know that x=3 you can substitute x=3 for x in y=5x-5. The problem should look like this:

y= 5(3)-5

Now with the equation above you can solve for y

y= 5(3)-5 (multiply 5 by 3)

y= 15-5 (subtract)

y=10

Now you have your answers X=3 Y=10

i hope this helps!