Question

please help me solve this linear equation..find the value of x..i'll post the equation in replies..i

Answer 1

\[\frac{ x }{ 2 }+\frac{ x }{ 3 }=1\]

Answer 2

first multiply 6 on both sides and tell me what u get?

Answer 3

reasoning for multiplying by 6
first determine the GCD-greatest common denominator of the 2 fractions
the GCD turns out to be 6
convert the fractions so they both have a denominator of 6
then combine the 2 fractions because they both have denominator of 6

now because you want to get rid of the denominator, you multiply by 6 to both sides of the equation

Answer 4

i dont understand :/

Answer 5

do you understand what a GCD is ?

Answer 6

not really :/ sorry :/

Answer 7

you do know what a denominator is right?

Answer 8

yes..

Answer 9

hmm i might've meant LCD not GCD w/e

anyways say we have 1/2 and 1/3

we want to find the lowest denominator that is a multiply of both 2 and 3

12 is a multiply of 2 and 3, but its not the lowest
6 is also a multiply of 2 and 3 and it turns out to be the lowest denominator

Answer 10

now we want to convert 1/2 and 1/3 into fractions with denominators of 6

\[\frac{1}{2}*\frac{3}{3}=\frac{3}{6}\]
\[\frac{1}{3}*\frac{2}{2}=\frac{2}{6}\]
by doing so, we can now add the 2 fractions together
\[\frac{3}{6}+\frac{2}{6}=\frac{3+2}{6}=\frac{5}{6}\]

Answer 11

does this make sense?

Answer 12

yes that does make sense..

Answer 13

we can apply this to your question
\[\frac{x}{2}=\frac{1}{2}x=\frac{3}{3}*\frac{1}{2}x=\frac{3}{6}x\]

Answer 14

add up the 2 fractions, then solve for x

Answer 15

ok thank you for your help :)

Answer 16

no prob