Solve for x
x=3y-\frac{7}{2}
Solve for y
y=\frac{x}{3}+\frac{7}{6}
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6y-11=-4+2x
Use the distributive property to multiply -2 by 2-x.
-4+2x=6y-11
Swap sides so that all variable terms are on the left hand side.
2x=6y-11+4
Add 4 to both sides.
2x=6y-7
Add -11 and 4 to get -7.
\frac{2x}{2}=\frac{6y-7}{2}
Divide both sides by 2.
x=\frac{6y-7}{2}
Dividing by 2 undoes the multiplication by 2.
x=3y-\frac{7}{2}
Divide 6y-7 by 2.
6y-11=-4+2x
Use the distributive property to multiply -2 by 2-x.
6y=-4+2x+11
Add 11 to both sides.
6y=7+2x
Add -4 and 11 to get 7.
6y=2x+7
The equation is in standard form.
\frac{6y}{6}=\frac{2x+7}{6}
Divide both sides by 6.
y=\frac{2x+7}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{x}{3}+\frac{7}{6}
Divide 7+2x by 6.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}