Solve 8xy≤9y-x - ScanMath

Evaluate

8 x y \leq 9 y - x

Rewrite the expression

8 y x \leq 9 y - x

Move the variable to the left side

8 y x + x \leq 9 y

Collect like terms by calculating the sum or difference of their coefficients

(8 y + 1) x \leq 9 y

Divide both sides

\frac{( 8 y + 1 ) x}{8 y + 1} \leq \frac{9 y}{8 y + 1}

Divide the numbers

x \leq \frac{9 y}{8 y + 1}

Rewrite the inequalities

{x \leq \frac{9 y}{8 y + 1} 8 y + 1 > 0 {x \geq \frac{9 y}{8 y + 1} 8 y + 1 < 0

Calculate

More Steps

{x \leq \frac{9 y}{8 y + 1} y > - \frac{1}{8} {x \geq \frac{9 y}{8 y + 1} 8 y + 1 < 0

Calculate

More Steps

{x \leq \frac{9 y}{8 y + 1} y > - \frac{1}{8} {x \geq \frac{9 y}{8 y + 1} y < - \frac{1}{8}

Rearrange the terms

{x \geq \frac{9 y}{8 y + 1} y < - \frac{1}{8} {x \leq \frac{9 y}{8 y + 1} y > - \frac{1}{8}

Solution

x \geq \frac{9 y}{8 y + 1}, y < - \frac{1}{8} x \leq \frac{9 y}{8 y + 1}, y > - \frac{1}{8}

Solve the inequality