Solve by using substitution. Express your answer as an ordered pair.

Question

{4x+y=2

{y=x-3

Answer 1

You can solve a system of equations by plugging one equation into the other. Try plugging equation 2 into 1 since it's already in y = form.

 

4x + y =2

4x + (x-3) = 2

5x - 3 =2

5x = 5

x = 1

 

y = 1 - 3

= -2

 

Now plug these in to check.

 

4(1) -2 = 2

4-2 = 2

2=2

 

-2 = 1-3

-2 =-2

 

They check out so the answer is (1, -2).