Solve 22/7yleq8

$$2 \frac { 2 } { 7 } y \leq 8$$

Solve for y

$$y\leq \frac{7}{2}$$

Solution Steps

Multiply both sides of the equation by 7. Since 7 is positive, the inequality direction remains the same.

$$\left(2\times 7+2\right)y\leq 56$$

Multiply 2 and 7 to get 14.

$$\left(14+2\right)y\leq 56$$

Add 14 and 2 to get 16.

$$16y\leq 56$$

Divide both sides by 16. Since 16 is positive, the inequality direction remains the same.

$$y\leq \frac{56}{16}$$

Reduce the fraction \frac{56}{16} to lowest terms by extracting and canceling out 8.

$$y\leq \frac{7}{2}$$