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\frac{x+3y}{2}
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\frac{x+3y}{2}
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x+y-\frac{1}{2}x-\left(-\frac{1}{2}y\right)
To find the opposite of \frac{1}{2}x-\frac{1}{2}y, find the opposite of each term.
x+y-\frac{1}{2}x+\frac{1}{2}y
The opposite of -\frac{1}{2}y is \frac{1}{2}y.
\frac{1}{2}x+y+\frac{1}{2}y
Combine x and -\frac{1}{2}x to get \frac{1}{2}x.
\frac{1}{2}x+\frac{3}{2}y
Combine y and \frac{1}{2}y to get \frac{3}{2}y.
x+y-\frac{1}{2}x-\left(-\frac{1}{2}y\right)
To find the opposite of \frac{1}{2}x-\frac{1}{2}y, find the opposite of each term.
x+y-\frac{1}{2}x+\frac{1}{2}y
The opposite of -\frac{1}{2}y is \frac{1}{2}y.
\frac{1}{2}x+y+\frac{1}{2}y
Combine x and -\frac{1}{2}x to get \frac{1}{2}x.
\frac{1}{2}x+\frac{3}{2}y
Combine y and \frac{1}{2}y to get \frac{3}{2}y.
Examples
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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