SOLUTION: During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $394. The next month, 400 units of electricity and 150 units of gas were used

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Question 1144430: During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $394. The next month, 400 units of electricity and 150 units of gas were used for a total cost of $286. Find the cost per unit of gas
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Let E be the cost per unit of electricity and G be cost per unit of gas.


Then from condition, you have this system of two equations in two unknown


    600E + 100G = 394,      (1)

    400E + 150G = 286.      (2)


Solve it for G by using Elimination method or the Cramer's rule.