Question

(1) Solve this system using the substitution method: y = 2x – 3; y = (1/2)x - 4

(2) Solve this application problem using a system of equations: The owner of Jeremy’s Garage
wants to fill a 55-gallon drum with a 20% winter mixture of antifreeze for is customers. How
many gallons of 100% antifreeze should he mix with some 12% antifreeze mixture in order to fill
the drum?

Answer 1

X=2

Explanation:

y= 2x- 3

1/2x= 2x-3

1/2x-2x= -3

x-4x= 2*-3

-3x=-6

x=2