Ask your own question, for FREE!
Mathematics 11 Online
OpenStudy (honeymonster):

please help me..solve the equation..i'm very confused..

OpenStudy (honeymonster):

\[\frac{ x+2 }{ 3 }+\frac{ 2x-3 }{ 4 }=2\]

OpenStudy (anonymous):

show me what u did

OpenStudy (anonymous):

clear the fractions multiply all by 12

OpenStudy (honeymonster):

this is what i got...... (x + 2)/3 + (2x - 3)/4 = 2 multiply through by 12 to clear fractions: 4(x+2) + 3(2x - 3) = 24 distribute: 8x + 8 + 6x - 9 = 24 combine like terms: 14x - 1 = 24 add 1 to both sides: 14x = 25 divide both sides by 14: x = 25/14

OpenStudy (anonymous):

looks good....

jimthompson5910 (jim_thompson5910):

when you distribute, it shouldn't be 8x + 8 + 6x - 9 = 24 it should be 4x + 8 + 6x - 9 = 24

OpenStudy (anonymous):

yes, thank jim... don't know why i missed that...

jimthompson5910 (jim_thompson5910):

yw

OpenStudy (honeymonster):

but when i try adding that into the answer i get a different answer to 2? :/

jimthompson5910 (jim_thompson5910):

4x + 8 + 6x - 9 = 24 10x - 1 = 24 10x = 24 + 1 10x = 25 x = 25/10 x = 5/2

OpenStudy (honeymonster):

ahhh that makes sense :L sorry..but thank you :)

jimthompson5910 (jim_thompson5910):

no worries, I'm glad it's making sense now

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!