Solve for x
x=-\frac{y}{4}-\frac{9}{2}
Solve for y
y=-4x-18
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-4\left(x+5\right)=y-2
Multiply both sides of the equation by 4, the least common multiple of -1,4.
-4x-20=y-2
Use the distributive property to multiply -4 by x+5.
-4x=y-2+20
Add 20 to both sides.
-4x=y+18
Add -2 and 20 to get 18.
\frac{-4x}{-4}=\frac{y+18}{-4}
Divide both sides by -4.
x=\frac{y+18}{-4}
Dividing by -4 undoes the multiplication by -4.
x=-\frac{y}{4}-\frac{9}{2}
Divide y+18 by -4.
-4\left(x+5\right)=y-2
Multiply both sides of the equation by 4, the least common multiple of -1,4.
-4x-20=y-2
Use the distributive property to multiply -4 by x+5.
y-2=-4x-20
Swap sides so that all variable terms are on the left hand side.
y=-4x-20+2
Add 2 to both sides.
y=-4x-18
Add -20 and 2 to get -18.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}