Solve for x
x=\frac{y+6}{13}
Solve for y
y=13x-6
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y-8x+6=5x
Use the distributive property to multiply -2 by 4x-3.
y-8x+6-5x=0
Subtract 5x from both sides.
y-13x+6=0
Combine -8x and -5x to get -13x.
-13x+6=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
-13x=-y-6
Subtract 6 from both sides.
\frac{-13x}{-13}=\frac{-y-6}{-13}
Divide both sides by -13.
x=\frac{-y-6}{-13}
Dividing by -13 undoes the multiplication by -13.
x=\frac{y+6}{13}
Divide -y-6 by -13.
y-8x+6=5x
Use the distributive property to multiply -2 by 4x-3.
y+6=5x+8x
Add 8x to both sides.
y+6=13x
Combine 5x and 8x to get 13x.
y=13x-6
Subtract 6 from both sides.
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}