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boomerang285
 2 years ago
can someone show me the steps to solve x/6=x/7+5
boomerang285
 2 years ago
can someone show me the steps to solve x/6=x/7+5

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carl_gauss
 2 years ago
Best ResponseYou've already chosen the best response.1multiply with 6 and 7 than bring x to one side. voila

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ x }{ 6 }=\frac{ x }{ 7 }+5\] to better understand here is the actual problem in the correct equation

order
 2 years ago
Best ResponseYou've already chosen the best response.1Move the x's to one side. Make the denominators equal. Minus the two terms, and move the denominator over to the over side and multiply 5 by the denominator (42) and then divide by the number next to x on the side where 5(42) is. and voila

order
 2 years ago
Best ResponseYou've already chosen the best response.17x/42  6x/42 = 5 x/42=5 x=5(42)

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ x }{ 6 }=\frac{ x }{ 7 }+5\] Multiply both sides by 42 (least common multiple of 6 and 7), to obtain 7x = 6x + 210 ∴ x = 210 Do you understand?

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0so step 2 would look like x/7x/6=5

order
 2 years ago
Best ResponseYou've already chosen the best response.1Then you make the denominators the same

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0which would be 42,

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0this is the part i get confused at

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0would it look like x/42?

order
 2 years ago
Best ResponseYou've already chosen the best response.1but in order to make the denominators equation, you need to times the numerator by the amount that the denominator needs to make 42. eg. 6 X ? = 42 (7) so times the top x by 7 which becomes 7x. and the other becomes 6x since you need to times 7 by 6 to make 42. so it would be 7x/42  6x/42 7x6x = x so it will eventually become x/42

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0and then simplify from there

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0how do i get x by itself?

order
 2 years ago
Best ResponseYou've already chosen the best response.1move the 42 over to the other side by timesing both sides by 42.

magepker728
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1349349298325:dw

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0thank you so much.. fractions is one thing i have an issue with..

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0i have even harder ones... like \[\frac{ x}{ 2x+2 }=\frac{ 2x }{ 4x+4 }+\frac{ 2x3 }{ x+1 }\]

order
 2 years ago
Best ResponseYou've already chosen the best response.1You use the same principle: so to add two fractions, the denominators must be the same. make the denominator under 2x simplified: 4x + 4 4(x+1) and use {2x over 4(x+1)} + {4(2x3) over 4(x+1)} as a first step

order
 2 years ago
Best ResponseYou've already chosen the best response.1\[{2x \over 4(x+1)} + {4(2x3) \over 4(x+1)}\]

order
 2 years ago
Best ResponseYou've already chosen the best response.1and add them \[2x + 8x 12 \over 4(x+1)\]

order
 2 years ago
Best ResponseYou've already chosen the best response.1do the same with the other side and use 2(x+1) as denominator

order
 2 years ago
Best ResponseYou've already chosen the best response.1\[{x \over 2(x+1)} = {6x 12 \over 4(x+1)}\]

order
 2 years ago
Best ResponseYou've already chosen the best response.1and cross multiply for simplification

order
 2 years ago
Best ResponseYou've already chosen the best response.1cancel the x+1 and you have 2x = 6x12

order
 2 years ago
Best ResponseYou've already chosen the best response.1and that is simplified as 4x = 12 which means x = 3

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0i have one more fraction if anyone is interested in helping

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ 5 }{ y4 }\frac{ 8 }{ y4 }=\frac{ 2 }{ y^216 }\]

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0it throws me off to add sqrt

order
 2 years ago
Best ResponseYou've already chosen the best response.1um... you could do it like this: \[{3 \over y4} = {2 \over y^2 16}\] \[{3 \over y 4} = {2 \over (y+4)(y4)}\]

order
 2 years ago
Best ResponseYou've already chosen the best response.1Then knock off the y4 so you're left with \[3 = {2 \over y+4}\]

order
 2 years ago
Best ResponseYou've already chosen the best response.1and then use 3 (y+4) = 2 and simplify 3y  12 = 2 3y = 2 +12 3y = 14 y = 14/3

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0wow that was easier than i thought

order
 2 years ago
Best ResponseYou've already chosen the best response.1You were only stumped by the y^2  16 which is simplified as (y4)(y+4)

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0thank you so much for helping me with these!
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