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

1 Answer
Jim G.
Feb 2, 2017

#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"#

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