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What are the coordinates of the point on the line $3x + 8y = 60$ such that the $x$-coordinate is $\frac23$ of the $y$-coordinate? Express your answer as an ordered pair.

Guest Oct 22, 2017
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3x +  8y  = 60

Let x =  (2/3)y ....so we have

3 (2/3)y + 8y  =  60

2y  +  8y  =  60

10y  = 60      divide both sides by 10

y  = 6      and x =  (2/3) (6)  =  4

So the point is  ( 4, 6)

CPhill  Oct 23, 2017

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