Question

Linear system word problem

Answer 1

Drinks, x, and popcorn, y.
38.75 = 5x+2y
37.25 = 3x + 4y
Let's solve this using the elimination method
subtract the 2nd row from the first
7x=40.25
divide both sides by 7 to isolate x
x=5.75

Substitute x into an equation
10(5.75)+4y=77.5
multiply
57.5+4y=77.5
subtract 57.5 from both sides
4y=77.5−57.5
Simplify
4y=20
divide both sides by 4 to isolate y
y = 5

To check you would plug x and y into the equations and see if it equals properly...

The price of drinks is $5.75, the price of popcorn is $5.

Hope this helps