Question

I'm confused need help :/

Answer 1

So slope intercept form is y=mx+b to convert this equation into slope intercept form we must make everything equal to y

3x-2y=7
3x=7+2y we add 2y to move it to the other side
3x-7=2y We subtract seven to have 1y by itself and then divide by two to get it into simplified slope intercept form
Answers=
3/2x-3.5=y or written as=
y=3/2x-3.5

Answer 2

y = 3/2x -7/2

Explanation:

Solve for y.

`3x -2y=7\qquad\text{given}\\\\3x=2y+7\qquad\text{add $2y$ to both sides}\\\\3x-7=2y\qquad\text{subtract 7}\\\\(3)/(2)x-(7)/(2)=y\qquad\text{divide by 2}\\\\\boxed{y=(3x)/(2)-(7)/(2)}`

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Additional comment

Whatever operation is performed on the equation must be performed on both sides of the equation in order for the equal sign to remain valid. For example, when we say "subtract 7", you should understand that to mean "subtract 7 from both sides of the equation."