Thread: help with problem

1/3x+3/4y=4

please show how to solve it. i can't get it!

Solve it how?
Solve for what?

Let me make a guess.
Since this is in Geometry, you want to know what is the graph of that thing, that equation.

Okay, let me work it on that guess.

1/3x+3/4y=4

I bet that is
(1/3)x +(3/4)y = 4.

First we clear the fractions,
Multiply both sides of the equation by the product of the denominators of the two fractions, which are 3 and 4,
Multiply both sides by 3*4,
4*1*x +3*3*y = 4*3*4
4x +9y = 48 -----(i)

(It is a straight line.)

Convert that Eq.(i) into y = mx +b,
9y = -4x +48
y = -(4/9)x +48/9
y = -(4/9)x +16/3 ----(ii)

So,
It is a straight line whose slope is -4/9, and whose y-intercept is 16/3.

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It is only my guess, remember.