Solve for x
x = \frac{5}{2} = 2\frac{1}{2} = 2.5
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x-3+x=5+2-2x
Subtract 5 from 2 to get -3.
2x-3=5+2-2x
Combine x and x to get 2x.
2x-3=7-2x
Add 5 and 2 to get 7.
2x-3+2x=7
Add 2x to both sides.
4x-3=7
Combine 2x and 2x to get 4x.
4x=7+3
Add 3 to both sides.
4x=10
Add 7 and 3 to get 10.
x=\frac{10}{4}
Divide both sides by 4.
x=\frac{5}{2}
Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.
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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
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\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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