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Mathematics 14 Online
OpenStudy (anonymous):

14-10c=94

OpenStudy (anonymous):

\[ \begin{align*} (14-10c) - 14 &= 94 - 14\\ -10c &= 80\\ \frac{-10c}{-10} &= \frac{80}{-10}\\ c &= -8 \end{align*} \]

OpenStudy (anonymous):

how did you put -14 next to 14-10c

OpenStudy (anonymous):

I was just showing that I was subtracting 14 from both sides.

OpenStudy (anonymous):

from which

OpenStudy (anonymous):

94 and which one

OpenStudy (anonymous):

And \(14-10c\).

OpenStudy (anonymous):

??????

OpenStudy (anonymous):

may you please show me step by step im very confused

OpenStudy (anonymous):

So when you have an equation (with an equal sign saying one thing is equivalent to another), in order to preserve the equality, you have to do the same thing ot both sides of the equation. For example, if you have \(5=5\), if you add \(2\) to both sides, the equality is still preserved: \[ \begin{align*} 5 &= 5\\ 5 + 2 &= 5+2\\ 7 &= 7 \end{align*} \]

OpenStudy (anonymous):

So I did the same thing with your equation, except instead of adding two, I subtracted 14.

OpenStudy (anonymous):

The thing with my math teacher she wants us to show it step by step

OpenStudy (anonymous):

Yeah, so the first step would be subtracting 14 from both sides.

OpenStudy (anonymous):

so

OpenStudy (anonymous):

14-10c=94 -14 =-14 --------------- -10c=94

OpenStudy (anonymous):

?

OpenStudy (anonymous):

Well, what's \(94-14\).

OpenStudy (anonymous):

so its

OpenStudy (anonymous):

14-10c=94 -14 =-14

OpenStudy (anonymous):

Well, what I was saying is that the final equation you wrote shouldn't have been \(-10c = 94\), it should be \(-10c = 80\), as \(94-14 = 80\).

OpenStudy (anonymous):

oh okay :-) Thankyou !

OpenStudy (anonymous):

Glad I could help!

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