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? The cost of natural gas is $0.17 per unit. 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.

Answer 1

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Answer 2

Answer:

The cost of natural gas is 0.83 dollars.

Step-by-step explanation:

From the given data in the question,

The equations are:

$750x+17y=141.61$

$300x+30y=75.90$

It is also given that Karina solves the system using linear combination and arrives at the equation $116y = 96.28$

It is given that cost of natural gas is the value of $y$

Solving

$116y = 96.2$, we get

$y=\frac{96.2}{116}$

$y=0.83$

Hence, statement explaining Karins's solution is $0.83$ dollar.

Option (4) is correct.

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