Solve for y
y = \frac{9}{2} = 4\frac{1}{2} = 4.5
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\frac{1}{2}y+\frac{3}{2}y=9
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
2y=9
Combine \frac{1}{2}y and \frac{3}{2}y to get 2y.
y=\frac{9}{2}
Divide both sides by 2.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
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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