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 ?

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

Ai just took the test

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