Solve for x_2
x_{2}=\frac{-x_{4}-1}{2}
Solve for x_4
x_{4}=-2x_{2}-1
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2x_{2}+1=-x_{4}
Subtract x_{4} from both sides. Anything subtracted from zero gives its negation.
2x_{2}=-x_{4}-1
Subtract 1 from both sides.
\frac{2x_{2}}{2}=\frac{-x_{4}-1}{2}
Divide both sides by 2.
x_{2}=\frac{-x_{4}-1}{2}
Dividing by 2 undoes the multiplication by 2.
x_{4}+1=-2x_{2}
Subtract 2x_{2} from both sides. Anything subtracted from zero gives its negation.
x_{4}=-2x_{2}-1
Subtract 1 from both sides.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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