Solve for $$ p $$ $$ \frac{s p-2}{3}+\frac{p}{2}=8 $$

Question

UpStudy AI · Accepted Answer

Solve the equation $$ \frac{s p-2}{3}+\frac{p}{2}=8 $$.
Solve the equation by following steps:
- step0: Solve for $$p$$:
  $$\frac{sp-2}{3}+\frac{p}{2}=8$$
- step1: Multiply both sides of the equation by LCD:
  $$\left(\frac{sp-2}{3}+\frac{p}{2}ight)	imes 6=8	imes 6$$
- step2: Simplify the equation:
  $$2sp-4+3p=48$$
- step3: Collect like terms:
  $$\left(2s+3ight)p-4=48$$
- step4: Move the constant to the right side:
  $$\left(2s+3ight)p=48+4$$
- step5: Add the numbers:
  $$\left(2s+3ight)p=52$$
- step6: Divide both sides:
  $$\frac{\left(2s+3ight)p}{2s+3}=\frac{52}{2s+3}$$
- step7: Divide the numbers:
  $$p=\frac{52}{2s+3}$$
The solution to the equation $$ \frac{s p-2}{3}+\frac{p}{2}=8 $$ is $$ p=\frac{52}{2s+3} $$.
$$ p=\frac{52}{2s+3} $$

Solve for

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Algebra Questions