Solve for x
x=-\frac{7y}{4}-\frac{7}{2}
Solve for y
y=-\frac{4x}{7}-2
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4x+8y=y-5-9
Subtract 9 from both sides.
4x+8y=y-14
Subtract 9 from -5 to get -14.
4x=y-14-8y
Subtract 8y from both sides.
4x=-7y-14
Combine y and -8y to get -7y.
\frac{4x}{4}=\frac{-7y-14}{4}
Divide both sides by 4.
x=\frac{-7y-14}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{7y}{4}-\frac{7}{2}
Divide -7y-14 by 4.
4x+9+8y-y=-5
Subtract y from both sides.
4x+9+7y=-5
Combine 8y and -y to get 7y.
9+7y=-5-4x
Subtract 4x from both sides.
7y=-5-4x-9
Subtract 9 from both sides.
7y=-14-4x
Subtract 9 from -5 to get -14.
7y=-4x-14
The equation is in standard form.
\frac{7y}{7}=\frac{-4x-14}{7}
Divide both sides by 7.
y=\frac{-4x-14}{7}
Dividing by 7 undoes the multiplication by 7.
y=-\frac{4x}{7}-2
Divide -14-4x by 7.
Examples
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{ 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}