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3m + 8v= $58

The next month he rented 5 movies and 2 video games for a total of $23.

5m + 2v = $23.

Grab an equation and solve it for one of the variables:

3m + 8v= $58

3m=58-8v

m=19.333-2.6666v

Then sub that result in for the variable in the other equation:

5(19.333-2.666666v )+ 2v = $23.

96.666 – 13.333v + 2v = $23.

96.666 – 11.333v = $23.

-11.333v = $23-96.666

-11.333v = -73.666

v=6.50

Now sub back in v in one of the equations:

5m + 2v = $23.

5m + 2(6.50) = $23.

5m+13 = 23

5m=10

m=2

The video games cost $6.50 and the Movies cost $2.00.

3($2.00) + 8($6.50) = $58

5($2.00) + 2($6.50) = $23.

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