Question

How do you solve `y+ \frac { 17} { 23} = - \frac { 5} { 23}`?

Answer 1

`y=-22/23`

Explanation:

To solve for y, subtract `17/23` from both sides of the equation.

Doing the same operation to both sides retains the ' balance' of the equation.

`ycancel(+17/23)color(red)cancel(-17/23)=-5/23color(red)(-17/23)`

Since the fractions on the right side have a `color(blue)"common denominator"` we can add the numerators.
That is - 5 - 17 = - 22

`rArry+0=-22/23`

`rArry=-22/23`

`color(blue)"Checking this solution"`

If we substitute this value into the left side and it is equal to the right side then it is the solution.

`"left side " =-22/23+17/23=-5/23=" right side"`

`rArry=-22/23" is the solution"`