# algebra

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Finances. During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of \$352. The next month, 400 units of electricity and 150 units of gas were used for a total cost of \$304. Find the cost per unit of gas. Please show the work. Thanks

• algebra -

Two equations; two unknowns.
500 x + 100 y = 352
400 x + 150 y = 304.

Solve for x and y.
y is the cost per unit of gas.
x is the cost per unit of electricity.

2000 x + 750 y = 1520
2000 x + 400 y = 1408
350 y = 112
y = \$0.32 per unit
x = \$0.64 per unit

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