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oranges x apples y 5x+2y=72 1x+4y=48


make it so that either the x value or the y value are the same
2(5x+2y)=2(72)
1x+4y=48


here you can see how the y's are now the same
10x+4y=144
1x+4y=48


subtract the bottom equation from the top one
9x=96


divide
9x/9=96/9


x=10 2/3


substitute 10 2/3 for x in either of the original equations
1x+4y=48
1(10 2/3)+4y=48
10 2/3+4y=48


subtract
4y=48-10 2/3
4y=37 1/3


divide
4y/4=(37 1/3)/4
y=9 1/3


therefor, x is 10 2/3 y is 9 1/3
money-wise, the oranges (x) are $10.67 and the apples (y) are $9.33

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Q: 5 oranges and 2 apples cost 72.1 orange and 4 apples cost 48 how much do an orange and an apple cost?
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