Solve, using the substitution method.

2x + 4y = 16

x - 7 = - 4y

2x + 4y = 16

and

x - 7 = - 4y

This problem can be easily solved by the method of substitution.

x = 7 - 4y

If we now replace the x in the first equation by the value of x we found from the second equation, then

2x + 4y = 16

2 (7 - 4y) + 4y = 16

14 - 8y + 4y = 16

14 - 4y = 16

-4y = 16 - 14

-4y = 2

-y = 1/2

y = - 1/2

Now if we replace the value of y in the first equation, we can get the value of x

2x + 4y = 16

2x + 4 (-1/2) = 16

2x - 2 = 16

2x = 16 + 2

2x = 18

x = 9