Solve the equation. $$ \frac{1}{4}+\frac{9}{x}=\frac{5}{8} $$

Question

UpStudy AI · Accepted Answer

Solve the equation $$ \frac{1}{4}+\frac{9}{x}=\frac{5}{8} $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{1}{4}+\frac{9}{x}=\frac{5}{8}$$
- step1: Find the domain:
  $$\frac{1}{4}+\frac{9}{x}=\frac{5}{8},x
eq 0$$
- step2: Move the constant to the right side:
  $$\frac{9}{x}=\frac{5}{8}-\frac{1}{4}$$
- step3: Subtract the numbers:
  $$\frac{9}{x}=\frac{3}{8}$$
- step4: Rewrite the expression:
  $$x=\frac{9	imes 8}{3}$$
- step5: Divide the terms:
  $$x=24$$
- step6: Check if the solution is in the defined range:
  $$x=24,x
eq 0$$
- step7: Find the intersection:
  $$x=24$$
The solution to the equation $$\frac{1}{4}+\frac{9}{x}=\frac{5}{8}$$ is $$x=24$$.
$$ x=24 $$

Solve the equation.

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Algebra Questions