Solve for x
x=-\frac{2y}{3}+\frac{5}{6}
Solve for y
y=-\frac{3x}{2}+\frac{5}{4}
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6x-5=-4y
Subtract 4y from both sides. Anything subtracted from zero gives its negation.
6x=-4y+5
Add 5 to both sides.
6x=5-4y
The equation is in standard form.
\frac{6x}{6}=\frac{5-4y}{6}
Divide both sides by 6.
x=\frac{5-4y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{2y}{3}+\frac{5}{6}
Divide -4y+5 by 6.
4y-5=-6x
Subtract 6x from both sides. Anything subtracted from zero gives its negation.
4y=-6x+5
Add 5 to both sides.
4y=5-6x
The equation is in standard form.
\frac{4y}{4}=\frac{5-6x}{4}
Divide both sides by 4.
y=\frac{5-6x}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{3x}{2}+\frac{5}{4}
Divide -6x+5 by 4.
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}