Solve for x
x=\frac{-y-8}{3}
Solve for y
y=-3x-8
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y-4=-3\left(x+4\right)
The opposite of -4 is 4.
y-4=-3x-12
Use the distributive property to multiply -3 by x+4.
-3x-12=y-4
Swap sides so that all variable terms are on the left hand side.
-3x=y-4+12
Add 12 to both sides.
-3x=y+8
Add -4 and 12 to get 8.
\frac{-3x}{-3}=\frac{y+8}{-3}
Divide both sides by -3.
x=\frac{y+8}{-3}
Dividing by -3 undoes the multiplication by -3.
x=\frac{-y-8}{3}
Divide y+8 by -3.
y-4=-3\left(x+4\right)
The opposite of -4 is 4.
y-4=-3x-12
Use the distributive property to multiply -3 by x+4.
y=-3x-12+4
Add 4 to both sides.
y=-3x-8
Add -12 and 4 to get -8.
Examples
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Linear equation
y = 3x + 4
Arithmetic
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Matrix
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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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