Question

Solve the equation y/(y+5)=4/9​

Answer 1

$\huge{\underline{\underline{\mathsf{\pink{Given\::}}}}}$

• $\bf{\frac{y}{y\:+\:5}}\:=\:{\frac{4}{9}}$

${ }$

$\huge{\underline{\underline{\mathsf{\pink{Find\::}}}}}$

• $\bf{Find\:the\:Value\:of\:Y}$

${ }$

$\huge{\underline{\underline{\mathsf{\pink{Solution\::}}}}}$

• $\sf{\frac{y}{y\:+\:5}}\:=\:{\frac{4}{9}}$

$\:\:\:\:\:\:\::\:\Longrightarrow{\:\sf{y\:\times\:9\:=\:4\:(y\:+\:5)}}$

$\:\:\:\:\:\:\::\:\Longrightarrow{\:\sf{9y\:=\:4y\:+\:20}}$

$\:\:\:\:\:\:\::\:\Longrightarrow{\:\sf{9y\:-\:4y\:=\:20}}$

$\:\:\:\:\:\:\::\:\Longrightarrow{\:\sf{5y\:=\:20}}$

$\:\:\:\:\:\:\::\:\Longrightarrow{\:\sf{y\:=\:{\frac{20}{5}}}}$

$\:\:\:\:\:\:\::\:\Longrightarrow{\:\sf{y\:=\:4}}$

${ }$

$\:\:\:\:\:\:\:\:\:\:\:{\purple{\bold{\dag}}}\:{\underline{\sf{Hence,\:the\:value\:of\:y\:is\:{\bold{4}}}}}.$

Answer 2

hope this is helpful to you