### Home > CCA > Chapter Ch10 > Lesson 10.2.2 > Problem10-39

10-39.

Solve the equations below by first changing each equation to a simpler equivalent equation. Check your solutions. Homework Help ✎

1. $3000x−2000=10,000$

Divide by a common factor, then solve.

1. $\frac{x^2}{2}+\frac{3x}{2}−5=0$

Multiply by the denominator to remove the fractions.

Use factoring or the Quadratic Formula to solve.

1. $\frac{5}{2}x-\frac{1}{3}=13$

Multiply the equation by a common denominator.

1. $\frac{3}{10}+\frac{2x}{5}=\frac{1}{2}$

See part (c) for help.

$\textit{x}=\frac{1}{2}$