Question

find the solution to the system of equations by using either graphing or substitution.
y = 6 - x and y = x -2

a. (2,4)
b. (-4,2)
c. (4,2)
d. no solutions

Answer 1

Okay so

Answer 2

y=6−x
y=x−2

Eliminate the equal sides of each equation and combine.

6−x=x−2

Since x contains the variable to solve for, move it to the left-hand side of the equation by subtracting x from both sides.

6−x−x=−2
y=x−2


Since −x and −x are like terms, subtract x from −x to get −2x.

6−2x=−2
y=x−2

Since 6 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6 from both sides.

−2x=−6−2
y=x−2

Subtract 2 from −6 to get −8.

−2x=−8
y=x−2

Divide each term in the equation by −2.

x=4
y=x−2

Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is 4.

x=4
y=(4)−2

Answer 3

x=4
y=4−2

Subtract 2 from 4 to get 2.

x=4
y=2