Answer:
[tex]y = \frac{13}{21}[/tex]
Step-by-step explanation:
The following rational equation is deducted from statement:
[tex]\frac{3}{2} = \frac{x +17}{x+7}[/tex]
Then, [tex]x[/tex] is cleared in the equation with algebraic handling:
[tex]3\cdot (x+7) = 2\cdot (x+17)[/tex]
[tex]3\cdot x +21 = 2\cdot x + 34[/tex]
[tex]x = 13[/tex]
The rational number is:
[tex]y = \frac{x}{x+8}[/tex]
[tex]y = \frac{13}{21}[/tex]