Solve for x
x=-\frac{y}{3}+\frac{7}{18}
Solve for y
y=\frac{7}{6}-3x
Graph
Share
Copied to clipboard
18x=7-6y
Subtract 6y from both sides.
\frac{18x}{18}=\frac{7-6y}{18}
Divide both sides by 18.
x=\frac{7-6y}{18}
Dividing by 18 undoes the multiplication by 18.
x=-\frac{y}{3}+\frac{7}{18}
Divide 7-6y by 18.
6y=7-18x
Subtract 18x from both sides.
\frac{6y}{6}=\frac{7-18x}{6}
Divide both sides by 6.
y=\frac{7-18x}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{7}{6}-3x
Divide 7-18x 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}