Mathematics
22 Online
OpenStudy (anonymous):
Please help. I will give medal and fan.
Solve this equation :
2x-5=3(x+1)
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hartnn (hartnn):
start with
3 (x+1)
make use of distributive property
\(a (b+c) = ab +ac\)
then
what is
3 (x+1) = ... ?
OpenStudy (anonymous):
3x+3
hartnn (hartnn):
correct :)
so we have
\(2x-5 = 3x+3 \)
subtract 2x from both sides,
what'd u get ?
OpenStudy (anonymous):
y do we have to subtract 2x from both sides
hartnn (hartnn):
because we combine like terms on same side :)
2x and 3x are LIKE terms
to combine them, they must be on same side
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hartnn (hartnn):
by subtracting 2x from both sides,
you will transfer 2x from left side to right side
OpenStudy (anonymous):
okay
hartnn (hartnn):
\(2x-2x-5 = 3x-2x+3\)
OpenStudy (anonymous):
okay
hartnn (hartnn):
so what you get on both sides?
2x-2x = (2-2)x = 0
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OpenStudy (anonymous):
sorry i dint understand this step
hartnn (hartnn):
a-a = 0
so 2x -2x =0
OpenStudy (anonymous):
yeah then
hartnn (hartnn):
2x−2x−5=3x−2x+3
-5 = (3-2)x + 3
OpenStudy (anonymous):
ok so whats the final ans
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OpenStudy (anonymous):
huh
OpenStudy (anonymous):
tell the final ans
OpenStudy (anonymous):
x=-2 ???
hartnn (hartnn):
(3-2)x is just x
-5 = x+3
subtract 3 from both sides and you'll get your answer
hartnn (hartnn):
and its not -2
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OpenStudy (anonymous):
-8
OpenStudy (anonymous):
no 8
hartnn (hartnn):
x =-8 is correct :)
OpenStudy (anonymous):
hehehehe
OpenStudy (anonymous):
thanks
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OpenStudy (anonymous):
i gave u ur medal
hartnn (hartnn):
welcome ^_^