Are These 2 Linear Equations Correct?

Oct 2012
26
0
Australia
The First One: 8(5-3x)-4(2+3x)=3

Expansion: -24x -12x 40-8 =3

Combine:-36x 32 =3

Shift: -36x = 3-32= -29

Solution: x= -29/-36

The Second One: 9(1+x)-8(x+2)= 2x

Expansion: 9x-8x 9-16 =2x

Combine: x -7 =2x

Shift: (x-2x) -7= 2x -2x

-x = -7

Solution: x= -7/-1

Is my formula for solving these equations correct (there are other ways but I thought my method is the easiest, or am I wrong?)? And are my solutions correct? If they're wrong, could you show me where I went wrong? Thanks guys!
 
Last edited:

Prove It

MHF Helper
Aug 2008
12,897
5,001
These are very hard to read as you keep forgetting plus and minus signs! But your logic is fine. The first is correct. The second is not.

You are correct up to \(\displaystyle \displaystyle \begin{align*} x - 7 = 2x \end{align*}\), now subtract \(\displaystyle \displaystyle \begin{align*} x \end{align*}\) from both sides to find \(\displaystyle \displaystyle \begin{align*} -7 = x \end{align*}\).
 
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Oct 2012
26
0
Australia
These are very hard to read as you keep forgetting plus and minus signs! But your logic is fine. The first is correct. The second is not.

You are correct up to \(\displaystyle \displaystyle \begin{align*} x - 7 = 2x \end{align*}\), now subtract \(\displaystyle \displaystyle \begin{align*} x \end{align*}\) from both sides to find \(\displaystyle \displaystyle \begin{align*} -7 = x \end{align*}\).
For the second one, WolframAlpha says the answer is x=7/-1???
 
Oct 2012
26
0
Australia
Which is equal to -7...
So WolframAlpha got it wrong? The final simplified answer is just x=-7? Is that what you're getting at? Or simply -7 since you're subtracting both x variables.
 
Oct 2012
33
2
T'bilisi
So WolframAlpha got it wrong? The final simplified answer is just x=-7? Is that what you're getting at? Or simply -7 since you're subtracting both x variables.
Remember that when positive number is divided or multiplied by negative number, answer is negative. Wolfram alpha gave you \(\displaystyle \frac{7}{-1}=-7\). So both Wolfram Alpha and Prove It are correct.