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