Question

Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natural gas, y.

750x + 17y = 141.61
300x + 30y = 75.90
Karina solves the system using linear combination and arrives at the equation 116y = 96.28. She then solves this equation for y. Which statement explains Karina’s solution?

a. The cost of electricity is $0.17 per unit.
b. The cost of natural gas is $0.20 per unit.
c. The cost of electricity is $0.72 per unit.
d. The cost of natural gas is $0.83 per unit.

Answer 1

0.83

Explanation:

Answer 2

I believe the correct answer from the choices listed above is option D. The statement that explains Karina's solution would be that the  cost of natural gas is $0.83 per unit. Her solution was y=0.83 where y represents the cost of the natural gas. Hope this answers the question.