Solve for x
x=\frac{3y}{2}+1
Solve for y
y=\frac{2\left(x-1\right)}{3}
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2x+3y-6=4x-8
Subtract 4 from -4 to get -8.
2x+3y-6-4x=-8
Subtract 4x from both sides.
-2x+3y-6=-8
Combine 2x and -4x to get -2x.
-2x-6=-8-3y
Subtract 3y from both sides.
-2x=-8-3y+6
Add 6 to both sides.
-2x=-2-3y
Add -8 and 6 to get -2.
-2x=-3y-2
The equation is in standard form.
\frac{-2x}{-2}=\frac{-3y-2}{-2}
Divide both sides by -2.
x=\frac{-3y-2}{-2}
Dividing by -2 undoes the multiplication by -2.
x=\frac{3y}{2}+1
Divide -2-3y by -2.
2x+3y-6=4x-8
Subtract 4 from -4 to get -8.
3y-6=4x-8-2x
Subtract 2x from both sides.
3y-6=2x-8
Combine 4x and -2x to get 2x.
3y=2x-8+6
Add 6 to both sides.
3y=2x-2
Add -8 and 6 to get -2.
\frac{3y}{3}=\frac{2x-2}{3}
Divide both sides by 3.
y=\frac{2x-2}{3}
Dividing by 3 undoes the multiplication by 3.
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}