Question

Solve the linear system by using substitution

Answer 1

x = 1 - y
y = 2x - 2

The second equation is already solved for y, so replace y of the first equation with 2x - 2.

x = 1 - y

x = 1 - (2x - 2)

x = 1 - 2x + 2

3x = 3

x = 1

Now substitute 1 for x in the second original equation to find y.

y = 2x - 2

y = 2(1) - 2

y = 0

Solution: x = 1 and y = 0