Question

Solve the system of equations by substitution:
x+1/4y=9
2x+2y=42

Answer 1

x = 5 and y =16

Explanation:

Substitution is done by substituting one equation into another. To begin solve one equation for a variable.

x + 1/4y = 9 becomes x = -1/4y + 9. Substitute this equation into the other equation.

2(-1/4y+9) + 2y = 42

-2/4y + 18 + 2y = 42

-1/2y + 18 + 2y = 42

1.5y + 18 = 42

1.5y = 24

y = 16

Substitute y = 16 into one of the equations and solve for x.

x + 1/4(16) = 9

x + 4 = 9

x = 5