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Mathematics 8 Online
OpenStudy (anonymous):

i need help..

OpenStudy (anonymous):

\[\frac{ 7 }{ 10 }m-17=-\frac{ 1 }{ 2 }m-5 \] solve..

OpenStudy (anonymous):

OK, hold on here a second.... I had it almost done, and pushed the wrong button on this thing....

OpenStudy (anonymous):

1) Add 17 to each side.

OpenStudy (anonymous):

2) add (1/2)m to each side

OpenStudy (anonymous):

Herd the terms with m in them to one side, the ones without to the other, then simplify and divide. Like this\[\frac{7}{10}m−17=−\frac{1}{2}m−5 \]\[\frac{7}{10}m+\frac{1}{2}m=−5 +17\]\[\frac{6}{5}m=12 \implies m=10\]

OpenStudy (anonymous):

This is always the first couple steps for algebra problems. You want to get constants on one side and variables on the other.

OpenStudy (anonymous):

The big deal on solving this kind of equation is to get the variable terms together, so you can simplify and solve.

OpenStudy (anonymous):

I agree with all of animal's steps except I would have kept the fraction as 12/10. That way when you times each side by the reciprocals the 12's just cancel

OpenStudy (anonymous):

Apparently, ChmE and I seem to be on the same page here...

OpenStudy (anonymous):

ok thank you guys very much

OpenStudy (cwrw238):

another way to do this would be to multiply through by 10 on the first step

OpenStudy (cwrw238):

thus getting rid of the fractions immediately

OpenStudy (anonymous):

ok i will try that next time @cwrw238

OpenStudy (cwrw238):

ok

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