Solve 6/7yleq-5

$$\frac { 6 } { 7 } y \leq - 5$$

Solve for y

$$y\leq -\frac{35}{6}$$

Solution Steps

Multiply both sides by \frac{7}{6}, the reciprocal of \frac{6}{7}. Since \frac{6}{7} is positive, the inequality direction remains the same.

$$y\leq -5\times \frac{7}{6}$$

Express -5\times \frac{7}{6} as a single fraction.

$$y\leq \frac{-5\times 7}{6}$$

Multiply -5 and 7 to get -35.

$$y\leq \frac{-35}{6}$$

Fraction \frac{-35}{6} can be rewritten as -\frac{35}{6} by extracting the negative sign.

$$y\leq -\frac{35}{6}$$