Question

Solve this system of equation by substitution
y = x+2
x + 2y = 1

Answer 1

( -1, 1)

Explanation:

Substitute the first equation into the second and solve for x:

x + 2(x + 2) = 1

x + 2x + 4 = 1

3x + 4 = 1

3x = -3

x = -1

Then put that answer into the first equation to solve for y:

y = (-1) + 2

y = 1

You can check by putting those answers into the equations:

1 = -1 + 2

1 = 1

-1 + 2(1) = 1

-1 + 2 = 1

1 = 1