Solve the system of equations by substitution:

x+1/4y=9

2x+2y=42

x = 5 and y = 16

Step-by-step 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