solve the equation. Check the solution. -2/x+4=4/1+3
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OpenStudy (anonymous):
@campbell_st hey can you help?
OpenStudy (campbell_st):
whats you're solution..?
OpenStudy (anonymous):
i keep getting -8/3 but it isnt right
OpenStudy (campbell_st):
and is the question
\[\frac{-2}{x + 4} = \frac{4}{1 + 3}\]
OpenStudy (anonymous):
yes thats correct
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OpenStudy (campbell_st):
ok... so that means the right side simplifies to
\[\frac{-2}{x +4} = \frac{4}{4}\]
which becomes
\[\frac{-2}{x +4} = 1\]
then multiply both sides by (x +4)
which gives
\[-2 = x + 4\]
OpenStudy (campbell_st):
does that make sense..?
OpenStudy (anonymous):
yes sorta... but it has to be in fraction form
OpenStudy (campbell_st):
well using the equation you gave me... the answer is x = -6
my concern is that the denominator of the right hand side fraction
is perhaps x + 3
and not 1 + 3
OpenStudy (anonymous):
so would it be -11/3?
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OpenStudy (campbell_st):
ok... I know the problem
OpenStudy (campbell_st):
the equation should be
\[\frac{-2}{x +4} = \frac{4}{x + 3}\]
start by cross multiplying to get rid of the denominators
\[-2(x + 3) = 4(x + 4)\]
when you distribute you get
-2x -6 = 4x + 16
OpenStudy (anonymous):
okay then combine like terms which is -6=2x+16
OpenStudy (anonymous):
Correct?
OpenStudy (campbell_st):
add 2x to both sides of the equation
-6 = 6x + 16
I think you made a simple error in -2 * 3 = 6
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