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12 February, 10:51

Jack paid $64 for two algebra and three geometry books. he paid $66 for three algebra and two geometry books. what is the cost of each book?

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  1. 12 February, 11:11
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    Lets make the cost of the algebra textbook = x and the cost of the geometry book = y

    2x+3y=64

    4x+2y=66

    now we get one of these equations in terms of one variable

    2x+3y=64 - - - > 2x=64-3y - - - > x=32-1.5y

    now we can plug that numeric value back into the other equation

    4 (32-1.5y) + 2y=66

    we can now simplify this equation in order to get the value of y

    4 (32-1.5y) + 2y=66 - - - > 128-6y+2y=66 - - - > 128-4y=66 - - - > - 4y=-64 - - - > y=16
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