Question

Which equation will result if the substitution method is used to solve the following system of linear equations?

x + y = 6
x = y - 2




(y - 2) + y = 6

x + y = y - 2

x + (y - 2) = 6

x = (x - 6) - 2

Answer 1

If x is substituted in, you would get (y-2) + y = 6.

Answer 2

x + y = 6 --- (1)
x = y - 2 ----( 2)

Substituting (2) in (1):

(y - 2) + y = 6

Answer 3

x+y=6
x-y=-2
2x =4
x =2
y =4 (2,4)