Why do you multiply by 4/3 when you have 1/2x+2=3/4y when solving for y?

Step-by-step explanation:

You multiply by 4/3 because you are essentially "dividing" both sides by 4/3. You have to take the reciprocal of 3/4 which is 4/3 in order to cancel out the 3/4 because 4/3 x 3/4 will be 1. So the problem will look like this:

(1/2)x + 2 = (3/4)y

4/3[(1/2)x + 2] = 4/3 x 3/4y

4/3[(1/2)x + 2] = y

4/6 x + 8/3 = y

y = 2/3(x) + 8/3

And then from here, if they gave a value for x and y, you can solve for the 2 variables.

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