Solve the linear system by using Substitution.

Question

Enter your answer as an ordered pair.

y = x + 2

2x + y = 8

Solution:

Answer 1

Hi Monica,

Since the first equation has been written in terms of y, you can substitute the expression x + 2 into the second equation and solve for x.

y = x + 2

2x + y = 8

2x + x + 2 = 8

3x + 2 = 8

3x + 2 - 2 = 8 - 2

3x = 6

3x/3 = 6/3

x = 2

Now substitute 2 for x in either equation to find y:

y = x + 2

y = 2 + 2

y =4

The solution for this pair of equations is (2,4)