Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair. ​

Answer 1

Solution:

x + y = 11, -x = -y - 9

~Isolate x in [ x + y = 11 ]

x = 11 - y

~Substitute x in the other equation

-(11 - y) = -y - 9

~Simplify

-11 + y = -y - 9

y = -y + 2

2y = 2

y = 1

~Substitute y in the first equation

x + 1 = 11

~Simplify

x = 10

Therefore, the solution to the system of equations is (10, 1)

Best of Luck!