Solve 75x+60(10-x)geq700

$$75 x + 60 ( 10 - x ) \geq 700$$

Solve for x

$$x\geq \frac{20}{3}$$

Solution Steps

Use the distributive property to multiply 60 by 10-x.

$$75x+600-60x\geq 700$$

Combine 75x and -60x to get 15x.

$$15x+600\geq 700$$

Subtract 600 from both sides.

$$15x\geq 700-600$$

Subtract 600 from 700 to get 100.

$$15x\geq 100$$

Divide both sides by 15. Since 15 is positive, the inequality direction remains the same.

$$x\geq \frac{100}{15}$$

Reduce the fraction \frac{100}{15} to lowest terms by extracting and canceling out 5.

$$x\geq \frac{20}{3}$$