Question
Solve the inequality
Solve for x
Solve for y
x≥8y+19y,y<−81x≤8y+19y,y>−81
Evaluate
8xy≤9y−x
Rewrite the expression
8yx≤9y−x
Move the variable to the left side
8yx+x≤9y
Collect like terms by calculating the sum or difference of their coefficients
(8y+1)x≤9y
Divide both sides
8y+1(8y+1)x≤8y+19y
Divide the numbers
x≤8y+19y
Rewrite the inequalities
{x≤8y+19y8y+1>0{x≥8y+19y8y+1<0
Calculate
More Steps

Calculate
8y+1>0
Move the constant to the right side
8y>0−1
Removing 0 doesn't change the value,so remove it from the expression
8y>−1
Divide both sides
88y>8−1
Divide the numbers
y>8−1
Use b−a=−ba=−ba to rewrite the fraction
y>−81
{x≤8y+19yy>−81{x≥8y+19y8y+1<0
Calculate
More Steps

Calculate
8y+1<0
Move the constant to the right side
8y<0−1
Removing 0 doesn't change the value,so remove it from the expression
8y<−1
Divide both sides
88y<8−1
Divide the numbers
y<8−1
Use b−a=−ba=−ba to rewrite the fraction
y<−81
{x≤8y+19yy>−81{x≥8y+19yy<−81
Rearrange the terms
{x≥8y+19yy<−81{x≤8y+19yy>−81
Solution
x≥8y+19y,y<−81x≤8y+19y,y>−81
Show Solution
