Question

How do you solve `-\frac { 9} { 7} - \frac { 1} { 2} u = - \frac { 9} { 5}`?

Answer 1

`-\frac { 9} { 7} - \frac { 1} { 2} u = - \frac { 9} { 5}`
`\frac { 1} { 2} u = - \frac { 9} { 5} +\frac { 9} { 7}`
`u = 2*(- \frac { 9} { 5} +\frac { 9} { 7})=`
`=2*((-9*7+9*5)/35)=2*(9*(-7+5))/35=2*(9*(-2))/35=-36/35`

Answer 2

`u=36/35`

Explanation:

The quickest way to solve this equation is to multiply the entire expression by the Common Denominator in order to eliminate the denominators.

`70 (-9/7 -1/2u = -9/5)`

`70 (-9/7) -70(1/2u) = 70 (-9/5)`

#10(-9) -35(1u) = 14(-9)

`-90-35u = -126`

`cancel(-90) -35u cancel(+90) = -126 +90`

`-35u = -36`

`(cancel(-35)u)/cancel(-35) = (-36)/-35`

`u=36/35`