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10 April, 23:06

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 electricity is $0.17 per unit.

The cost of natural gas is $0.20 per unit.

The cost of electricity is $0.72 per unit.

The cost of natural gas is $0.83 per unit.

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  1. 11 April, 01:48
    0
    The statement that explains Karina's solution is

    The cost of natural gas is $0.83 per unit.

    Furthermore, the cost of electricity is $0.17 per unit.

    The solution can also be determined by elimination or substitution. Others methods such as the Gauss-Jordan can be used as well.
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