Solve 42x+56(70-x)leq2500

$$42 x + 56 ( 70 - x ) \leq 2500$$

Solve for x

$$x\geq \frac{710}{7}$$

Solution Steps

Use the distributive property to multiply 56 by 70-x.

$$42x+3920-56x\leq 2500$$

Combine 42x and -56x to get -14x.

$$-14x+3920\leq 2500$$

Subtract 3920 from both sides.

$$-14x\leq 2500-3920$$

Subtract 3920 from 2500 to get -1420.

$$-14x\leq -1420$$

Divide both sides by -14. Since -14 is negative, the inequality direction is changed.

$$x\geq \frac{-1420}{-14}$$

Reduce the fraction \frac{-1420}{-14} to lowest terms by extracting and canceling out -2.

$$x\geq \frac{710}{7}$$