Question

Given the equation Ax+By=C, solve for y.

A. y= C/B - Ax
B. y= C/Ax + B
C. y= C + Ax/B
D. y= -Ax/B + C/B

Answer 1

Answer: D.

Explanation:

`Ax+By=C\\Ax+By-Ax=C-Ax\\By=C-Ax\\`

Divide both parts of the equation by B:

`\displaystyle\\y=(C-Ax)/(B) \\\\y=(C)/(B)-(Ax)/(B) } \\\\y=-(Ax)/(B) +(C)/(B)`

Answer 2

Answer: Choice D

Step-by-step explanation

First, subtract Ax from both sides:

Ax - Ax + By = C - Ax

By = C - Ax

Now, divide B from both sides:

`(By)/(B)` =
`(C - Ax)/(B)`

y =
`(C - Ax)/(B)`

Finally, to get an equivalent answer for an answer choice, divide each term by B on the right side of the equation:

y =
`(C)/(B)` -
`(Ax)/(B)`

or

y = -
`(Ax)/(B)` +
`(C)/(B)`

or

y =
`(-Ax)/(B)` +
`(C)/(B)`

This answer is the same as answer choice D, and so D is the correct answer.