Find the value of the rational expression for the given value of the variable.13y + 5:, y = 9y2 – 3y – 10-AnswerHow to enter your answer (opens in new window)

The given expression is
[tex]\frac{13y+5}{y^2-3y-10}[/tex]The value of y is 9, then
Substitute y by 9 in the expression
[tex]\frac{13(9)+5}{(9^2)-3(9)-10}[/tex]Simplify up and down
[tex]\frac{117+5}{81-27-10}=\frac{122}{44}[/tex]Divide up and down by t to get the simplest fraction
[tex]\frac{\frac{122}{2}}{\frac{44}{2}}=\frac{61}{22}[/tex]The value of the rational expression is 61/22 = 2 17/22 (mixed number)
You can write it as an improper fraction of 61/22
You can write it as a mixed number 2 17/22