Solve for x
x=-\frac{2y}{3}+\frac{4}{9}
Solve for y
y=-\frac{3x}{2}+\frac{2}{3}
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9x+6y-4=0
Swap sides so that all variable terms are on the left hand side.
9x-4=-6y
Subtract 6y from both sides. Anything subtracted from zero gives its negation.
9x=-6y+4
Add 4 to both sides.
9x=4-6y
The equation is in standard form.
\frac{9x}{9}=\frac{4-6y}{9}
Divide both sides by 9.
x=\frac{4-6y}{9}
Dividing by 9 undoes the multiplication by 9.
x=-\frac{2y}{3}+\frac{4}{9}
Divide -6y+4 by 9.
9x+6y-4=0
Swap sides so that all variable terms are on the left hand side.
6y-4=-9x
Subtract 9x from both sides. Anything subtracted from zero gives its negation.
6y=-9x+4
Add 4 to both sides.
6y=4-9x
The equation is in standard form.
\frac{6y}{6}=\frac{4-9x}{6}
Divide both sides by 6.
y=\frac{4-9x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{3x}{2}+\frac{2}{3}
Divide -9x+4 by 6.
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}