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[ 5x-3y-150 ] is not an equation, and it has no graph, slope, or intercepts.

For discussion purposes, let me change the second 'minus' sign to an 'equals' sign:

5x - 3y = 150

NOW we have an equation to talk about.

By rearranging a few of the deck chairs, we can re-write the equation as

y = 5/3 x - 50

Nothing has changed. It's still the same equation, written in a different way.

This is called the 'slope/intercept' form, because you can just look at it and tell

what the slope and y-intercept of the graph are. The slope of the graph is 5/3

and its y-intercept is -50 .

But you asked for the x-intercept.

At the point where the graph crosses the x-axis, 'y' is zero, so . . .

0 = 5/3 x - 50

50 = 5/3 x

30 = x

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Q: What is the x intercept of the graph 5x-3y-150?
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