Solve for x
x=\frac{2y}{3}-1
Solve for y
y=\frac{3\left(x+1\right)}{2}
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8x-2y=5x-3
Use the distributive property to multiply 2 by 4x-y.
8x-2y-5x=-3
Subtract 5x from both sides.
3x-2y=-3
Combine 8x and -5x to get 3x.
3x=-3+2y
Add 2y to both sides.
3x=2y-3
The equation is in standard form.
\frac{3x}{3}=\frac{2y-3}{3}
Divide both sides by 3.
x=\frac{2y-3}{3}
Dividing by 3 undoes the multiplication by 3.
x=\frac{2y}{3}-1
Divide -3+2y by 3.
8x-2y=5x-3
Use the distributive property to multiply 2 by 4x-y.
-2y=5x-3-8x
Subtract 8x from both sides.
-2y=-3x-3
Combine 5x and -8x to get -3x.
\frac{-2y}{-2}=\frac{-3x-3}{-2}
Divide both sides by -2.
y=\frac{-3x-3}{-2}
Dividing by -2 undoes the multiplication by -2.
y=\frac{3x+3}{2}
Divide -3x-3 by -2.
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}