Question

Solve the system, use Substitution: x + y = 11, y = x + 5 *

4 points
(-2 , 3)
(3 , 8)
(7 , 4)
(6 , 5)

Answer 1

Use the Substitution method to solve this system of equations:

.

x=-y-1

x-y=-11

.

Substitute -y-1 for x in the second equation. (We can make this move because the first equation tells us that whatever x is, it is equal to -y-1.)

.

x-y=-11

%28-y-1%29-y=-11

.

Simplify by combining like terms.

-2y-1=-11

-2y=-10

y=5

.

Substitute 5 for y in the first equation.

x=-y-1

x=-%285%29-1