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Algebra
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OpenStudy (aldana.navea):
Need Help with this one:
Solve for x
y=(x-3)m
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OpenStudy (michele_laino):
first step:
please divide both sides by \(m\)
OpenStudy (michele_laino):
namely:
\[\frac{y}{m} = \frac{{\left( {3 - x} \right)m}}{m}\]
please simplify
OpenStudy (aldana.navea):
okay one sec (:
OpenStudy (aldana.navea):
so this is my answer so far, because we cross out the two m's right?
\[\frac{ y }{ m }= (3-x)\]
OpenStudy (michele_laino):
that's right!
now I multiply both sides by \(-1\), so I get:
\[ - \frac{y}{m} = - 3 + x\]
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OpenStudy (michele_laino):
finalli, I add \(3\) to both sides:
\[ - \frac{y}{m} + 3 = - 3 + x + 3\]
please simplify
OpenStudy (michele_laino):
finally*
OpenStudy (aldana.navea):
thank you (: give me one second
OpenStudy (michele_laino):
hint:
we can write this:
\[ - 3 + x + 3 = x + 3 - 3 = ...?\]
OpenStudy (aldana.navea):
would it be -9+x=x?
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OpenStudy (michele_laino):
it is:
\[x + 3 - 3 = x\]
so we get:
\[x = - \frac{y}{m} + 3\]
OpenStudy (michele_laino):
since: \(3-3=3+(-3)=0\)
OpenStudy (aldana.navea):
Oh okay! I added the 3's except of crossing them out, thank you!
OpenStudy (michele_laino):
:)
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