Solve for x
x=y+3
Solve for y
y=x-3
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y+1=1\left(x-2\right)
The opposite of -1 is 1.
y+1=x-2
Use the distributive property to multiply 1 by x-2.
x-2=y+1
Swap sides so that all variable terms are on the left hand side.
x=y+1+2
Add 2 to both sides.
x=y+3
Add 1 and 2 to get 3.
y+1=1\left(x-2\right)
The opposite of -1 is 1.
y+1=x-2
Use the distributive property to multiply 1 by x-2.
y=x-2-1
Subtract 1 from both sides.
y=x-3
Subtract 1 from -2 to get -3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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