Question

Solve the following equation: $\frac{9x}{7-6x}=15$.

Answer 1

Simplify the given algebraic expression:

Here, cross multiply the terms in the equation $\frac{9x}{7-6x}=15$ and perform the required mathematical operation to find the value of $x$.

Therefore,

$\begin{array}{c}\frac{9x}{7-6x}=15\\ \Rightarrow 105-90x=9x\\ \Rightarrow 90x+9x=105\\ \Rightarrow 99x=105\\ \Rightarrow x=\frac{105}{99}\\ \Rightarrow x=\frac{35}{33}\end{array}$

Hence, the value of $x$in the equation $\frac{9x}{7-6x}=15$ is$\frac{35}{33}$.