Solve for x
x=-\frac{y}{2}-2
y\neq 0
Solve for y
y=-2x-4
x\neq -2
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y-0=-2\left(x+2\right)
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.
y-0=-2x-4
Use the distributive property to multiply -2 by x+2.
-2x-4=y-0
Swap sides so that all variable terms are on the left hand side.
-2x=y-0+4
Add 4 to both sides.
-2x=y+4
Reorder the terms.
\frac{-2x}{-2}=\frac{y+4}{-2}
Divide both sides by -2.
x=\frac{y+4}{-2}
Dividing by -2 undoes the multiplication by -2.
x=-\frac{y}{2}-2
Divide y+4 by -2.
x=-\frac{y}{2}-2\text{, }x\neq -2
Variable x cannot be equal to -2.
y-0=-2\left(x+2\right)
Multiply both sides of the equation by x+2.
y-0=-2x-4
Use the distributive property to multiply -2 by x+2.
y=-2x-4+0
Add 0 to both sides.
y=-2x-4
Add -4 and 0 to get -4.
Examples
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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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