Solve for x
x=\frac{y+1}{2}
Solve for y
y=2x-1
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y-11+2x=2y-3x+3x-10
Subtract 5 from -6 to get -11.
y-11+2x=2y-10
Combine -3x and 3x to get 0.
-11+2x=2y-10-y
Subtract y from both sides.
-11+2x=y-10
Combine 2y and -y to get y.
2x=y-10+11
Add 11 to both sides.
2x=y+1
Add -10 and 11 to get 1.
\frac{2x}{2}=\frac{y+1}{2}
Divide both sides by 2.
x=\frac{y+1}{2}
Dividing by 2 undoes the multiplication by 2.
y-11+2x=2y-3x+3x-10
Subtract 5 from -6 to get -11.
y-11+2x=2y-10
Combine -3x and 3x to get 0.
y-11+2x-2y=-10
Subtract 2y from both sides.
-y-11+2x=-10
Combine y and -2y to get -y.
-y+2x=-10+11
Add 11 to both sides.
-y+2x=1
Add -10 and 11 to get 1.
-y=1-2x
Subtract 2x from both sides.
\frac{-y}{-1}=\frac{1-2x}{-1}
Divide both sides by -1.
y=\frac{1-2x}{-1}
Dividing by -1 undoes the multiplication by -1.
y=2x-1
Divide 1-2x by -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}