Question

Which values of x and y will satisfy y = 5x and 12x + 9y = 60?

A.

x = 1, y = 19

B.

x = 35 y= 20/19

C.

x = 1/20 y = 1/90

D.

x = 20/19 y = 100/19

E.

x = 19 y = 50/19

Answer 1

y = 5x
12x + 9y = 60

Use substitution and solve the system
12x + 9(5x) = 60
12x + 45x = 60
57x = 60
x=20/19

y = 5(20/19)
y= 100/19