Question

How do you solve `(7u+9)/4 - (u-2)/3=10`?

Answer 1

multiply both sides by both denominators to remove the fractions, and then put the LHS together, and then solve for u. `u=5`

Explanation:

`(7u+9)/4-(u-2)/3=10`

Raise both fractions to the LCD (12)
`(21u+27)/12-(4u-8)/12=10`

Multiply both sides by 12 to eliminate the fraction
`(21u+27)-(4u-8)=120`

Put the Left Hand Side (LHS) together
`21u+27-4u+8 = 17u+35 = 120`

move the constant to the RHS, then solve for u
`17u=120-35 = 85`
`u=85/17 = 5`