Solve for x
x=-\frac{4y}{3}+5
Solve for y
y=\frac{15-3x}{4}
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y-6=\frac{-3}{2-\left(-2\right)}\left(x-\left(-3\right)\right)
Subtract 6 from 3 to get -3.
y-6=\frac{-3}{2+2}\left(x-\left(-3\right)\right)
The opposite of -2 is 2.
y-6=\frac{-3}{4}\left(x-\left(-3\right)\right)
Add 2 and 2 to get 4.
y-6=-\frac{3}{4}\left(x-\left(-3\right)\right)
Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.
y-6=-\frac{3}{4}\left(x+3\right)
The opposite of -3 is 3.
y-6=-\frac{3}{4}x-\frac{9}{4}
Use the distributive property to multiply -\frac{3}{4} by x+3.
-\frac{3}{4}x-\frac{9}{4}=y-6
Swap sides so that all variable terms are on the left hand side.
-\frac{3}{4}x=y-6+\frac{9}{4}
Add \frac{9}{4} to both sides.
-\frac{3}{4}x=y-\frac{15}{4}
Add -6 and \frac{9}{4} to get -\frac{15}{4}.
\frac{-\frac{3}{4}x}{-\frac{3}{4}}=\frac{y-\frac{15}{4}}{-\frac{3}{4}}
Divide both sides of the equation by -\frac{3}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-\frac{15}{4}}{-\frac{3}{4}}
Dividing by -\frac{3}{4} undoes the multiplication by -\frac{3}{4}.
x=-\frac{4y}{3}+5
Divide y-\frac{15}{4} by -\frac{3}{4} by multiplying y-\frac{15}{4} by the reciprocal of -\frac{3}{4}.
y-6=\frac{-3}{2-\left(-2\right)}\left(x-\left(-3\right)\right)
Subtract 6 from 3 to get -3.
y-6=\frac{-3}{2+2}\left(x-\left(-3\right)\right)
The opposite of -2 is 2.
y-6=\frac{-3}{4}\left(x-\left(-3\right)\right)
Add 2 and 2 to get 4.
y-6=-\frac{3}{4}\left(x-\left(-3\right)\right)
Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.
y-6=-\frac{3}{4}\left(x+3\right)
The opposite of -3 is 3.
y-6=-\frac{3}{4}x-\frac{9}{4}
Use the distributive property to multiply -\frac{3}{4} by x+3.
y=-\frac{3}{4}x-\frac{9}{4}+6
Add 6 to both sides.
y=-\frac{3}{4}x+\frac{15}{4}
Add -\frac{9}{4} and 6 to get \frac{15}{4}.
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}