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Rearrange this formula to make y the subject.

ax + by = cx - dy

Any help would be greatly appreciated, plus the steps taken to get the answer.

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- Thread starter WillyVee
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- #1

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Rearrange this formula to make y the subject.

ax + by = cx - dy

Any help would be greatly appreciated, plus the steps taken to get the answer.

- #2

symbolipoint

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Use additive inverse of -dy;

use additive inverse of ax;

use distributive property;

use multiplicative inverse property.

- #3

HallsofIvy

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Willy Vee, you need to get y by itself on one side of the equation: y= ...

To do that you look at what has been "done to y" and then do the opposite. That is why symbolipoint has three "inverses"!

You have, to start with, ax+ by= cx- dy. You want y only on the left side of the equation and right now there is a "-dy" on the right. Do the opposite- add dy (dy is the "additive inverse of -dy) to both sides: ax+ by+ dy= cx- dy+ dy= cx. You want no x on the left so add -ax to both sides (-ax is the "additive inverse of ax): ax+ by+ dy- ax= by+ dy= cx- ax. You should see that you can now factor y out of the left side: by+ dy= (a+d)y so you really have (a+d)y= cx-ax.

y= (cx- ax)/(a+ d). You might also notice that you can factor an x out of that: [(c-a)/(a+d)]x.

- #4

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You left the b out HallsofIvy ;)

First add dy and subtract ax from each side to isolate y on the left.

by+dy=cx-ax

Take a common factor of y from the right side and an x from the left side.

(b+d)y=(c-a)x

Divide each side by (b+d), and you have your answer

y=( (c-a)/(b+d) )x and b+d≠0

First add dy and subtract ax from each side to isolate y on the left.

by+dy=cx-ax

Take a common factor of y from the right side and an x from the left side.

(b+d)y=(c-a)x

Divide each side by (b+d), and you have your answer

y=( (c-a)/(b+d) )x and b+d≠0

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- #5

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Use additive inverse of -dy;

use additive inverse of ax;

use distributive property;

use multiplicative inverse property.

cor you sound like a proper bore!

.......not to be mean or nothing

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- #7

HallsofIvy

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You just can't help it?cor you sound like a proper bore!

.......not to be mean or nothing

Ok, so that I don't bore you anymore I will not respond to any more of your questions.

In fact, to be helpful, I will warn others not to give detailed answers to your questions since they bore you.

And, since it was clearly to0 boring for you to read the info you were required to when you registered (in particular the part that says homework

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