Question

karina uses the given system of equations 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 equatio 116y = 96.28. she then solves this equation for y. which statement explain karinas solution? the cost of natural gas is $0.20 per unit. the cost of natural gas is $0.72 per unit. the cost of natural gas is $0.83 per unit. the cost of natural gas is $0.17 per unit.

Explanation:

Step1: Solve the equation for \(y\)

Given \(116y = 96.28\), divide both sides by \(116\).
\(y=\frac{96.28}{116}\)

Step2: Calculate the value of \(y\)

\(y = 0.83\)

Answer:

The cost of natural gas is \(\$0.83\) per unit.