Carla and Benico work in a men's clothing store. They earn commission for each suit and each pair of shoes they sell. For selling 3 suits and one pair or

x = dollars commission for one suit
y = dollars commission for one pair shoes
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3x + 1y = 47
7x + 2y = 107
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put the system of linear equations into standard form
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3x + 1y = 47
7x + 2y = 107
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solution:
x = 13
y = 8

3x + 1y = 47 (multiply by 2)         6x+2y=94               minus them from each other
7x + 2y = 107                              7x+2y=107
                                                    -x=-13 

                                                     x=13

 

put x=13 into one of the equations:

3x+y=47       x=13

39+y=47

y=8

 

:P  :P  :P