if (4/3)y = (3/4)x , for what value of x will x = y?

The answer is zero. To see why, let’s get this into y= form.

\dfrac{4}{3}y=\dfrac{3}{4}x\\\\4y=\dfrac{9}{4}x\\\\y=\dfrac{9}{16}x

That’s a line that goes through the origin, with a slope of \dfrac{9}{16}. The question is basically asking when this line will intersect the y=x line. And the intersection of those two lines is at (0, 0).

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