Solve for x
x=-5y-1
Solve for y
y=\frac{-x-1}{5}
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x+8=7-5y
Subtract 5y from both sides.
x=7-5y-8
Subtract 8 from both sides.
x=-1-5y
Subtract 8 from 7 to get -1.
5y+8=7-x
Subtract x from both sides.
5y=7-x-8
Subtract 8 from both sides.
5y=-1-x
Subtract 8 from 7 to get -1.
5y=-x-1
The equation is in standard form.
\frac{5y}{5}=\frac{-x-1}{5}
Divide both sides by 5.
y=\frac{-x-1}{5}
Dividing by 5 undoes the multiplication by 5.
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
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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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