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2 votes
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

2 Answers

2 votes

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)

User Safakeskin
by
8.1k points
0 votes

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.

User Aanu
by
8.4k points

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