Solve for y
y=\frac{2}{3}\approx 0.666666667
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-2\times 3=-9y
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 16y, the least common multiple of 8y,16.
-6=-9y
Multiply -2 and 3 to get -6.
-9y=-6
Swap sides so that all variable terms are on the left hand side.
y=\frac{-6}{-9}
Divide both sides by -9.
y=\frac{2}{3}
Reduce the fraction \frac{-6}{-9} to lowest terms by extracting and canceling out -3.
Examples
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Linear equation
y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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