Solve for x
x=3y-10
Solve for y
y=\frac{x+10}{3}
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x+10=3y
Add 3y to both sides. Anything plus zero gives itself.
x=3y-10
Subtract 10 from both sides.
-3y+10=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
-3y=-x-10
Subtract 10 from both sides.
\frac{-3y}{-3}=\frac{-x-10}{-3}
Divide both sides by -3.
y=\frac{-x-10}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{x+10}{3}
Divide -x-10 by -3.
Examples
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Linear equation
y = 3x + 4
Arithmetic
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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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