Solve for y
y\leq 7
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4y-13-y\leq 8
Subtract y from both sides.
3y-13\leq 8
Combine 4y and -y to get 3y.
3y\leq 8+13
Add 13 to both sides.
3y\leq 21
Add 8 and 13 to get 21.
y\leq \frac{21}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
y\leq 7
Divide 21 by 3 to get 7.
Examples
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Linear equation
y = 3x + 4
Arithmetic
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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