Solve for the variable and check answer. A) `2/3x=1/15x+3/5` B) `2+y/2=3/4y-3`
A. `2/3x=1/15x + 3/5`
First, express the equation with whole numbers. To do so, multiply both sides by the LCD of the fractions which is 15.
`15*2/3x=(1/15x + 3/5)*15`
`15*2/3x=15*1/15x + 15*3/5`
Then, bring together the terms with x. So, subtract both sides by x.
Then, divide both sides by 9, to get x only at the left side of the equation.
To check, plug-in the value of x to the original equation.
2/3x =1/15x + 3/5
The LCD of the fractions at the left is 15. So multiply 3/5 by 3/3 to have a denominator of 15.
Now that the right side have the same denominators, proceed to add.
Reduce the fraction to its lowest term.
Hence, the solution is x=1.
(For the second equation, please post it as separate question in Homework Help.)