Solve for x
x=-3y-5
Solve for y
y=\frac{-x-5}{3}
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x\left(-1\right)+y\left(-3\right)=5
Swap sides so that all variable terms are on the left hand side.
x\left(-1\right)=5-y\left(-3\right)
Subtract y\left(-3\right) from both sides.
x\left(-1\right)=5+3y
Multiply -1 and -3 to get 3.
-x=3y+5
The equation is in standard form.
\frac{-x}{-1}=\frac{3y+5}{-1}
Divide both sides by -1.
x=\frac{3y+5}{-1}
Dividing by -1 undoes the multiplication by -1.
x=-3y-5
Divide 5+3y by -1.
x\left(-1\right)+y\left(-3\right)=5
Swap sides so that all variable terms are on the left hand side.
y\left(-3\right)=5-x\left(-1\right)
Subtract x\left(-1\right) from both sides.
y\left(-3\right)=5+x
Multiply -1 and -1 to get 1.
-3y=x+5
The equation is in standard form.
\frac{-3y}{-3}=\frac{x+5}{-3}
Divide both sides by -3.
y=\frac{x+5}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{-x-5}{3}
Divide 5+x by -3.
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}