Solve for x
x=5y-3
Solve for y
y=\frac{x+3}{5}
Graph
Share
Copied to clipboard
y=\frac{1}{5}x+\frac{3}{5}
Divide each term of x+3 by 5 to get \frac{1}{5}x+\frac{3}{5}.
\frac{1}{5}x+\frac{3}{5}=y
Swap sides so that all variable terms are on the left hand side.
\frac{1}{5}x=y-\frac{3}{5}
Subtract \frac{3}{5} from both sides.
\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{y-\frac{3}{5}}{\frac{1}{5}}
Multiply both sides by 5.
x=\frac{y-\frac{3}{5}}{\frac{1}{5}}
Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.
x=5y-3
Divide y-\frac{3}{5} by \frac{1}{5} by multiplying y-\frac{3}{5} by the reciprocal of \frac{1}{5}.
y=\frac{1}{5}x+\frac{3}{5}
Divide each term of x+3 by 5 to get \frac{1}{5}x+\frac{3}{5}.
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}