Solve for x
x=\frac{19y}{15}-\frac{3}{5}
Solve for y
y=\frac{15x+9}{19}
Graph
Share
Copied to clipboard
y-1=\frac{-1}{-\frac{19}{15}}\left(x-\frac{2}{3}\right)
Subtract \frac{2}{3} from -\frac{3}{5} to get -\frac{19}{15}.
y-1=-\left(-\frac{15}{19}\right)\left(x-\frac{2}{3}\right)
Divide -1 by -\frac{19}{15} by multiplying -1 by the reciprocal of -\frac{19}{15}.
y-1=\frac{15}{19}\left(x-\frac{2}{3}\right)
Multiply -1 and -\frac{15}{19} to get \frac{15}{19}.
y-1=\frac{15}{19}x-\frac{10}{19}
Use the distributive property to multiply \frac{15}{19} by x-\frac{2}{3}.
\frac{15}{19}x-\frac{10}{19}=y-1
Swap sides so that all variable terms are on the left hand side.
\frac{15}{19}x=y-1+\frac{10}{19}
Add \frac{10}{19} to both sides.
\frac{15}{19}x=y-\frac{9}{19}
Add -1 and \frac{10}{19} to get -\frac{9}{19}.
\frac{\frac{15}{19}x}{\frac{15}{19}}=\frac{y-\frac{9}{19}}{\frac{15}{19}}
Divide both sides of the equation by \frac{15}{19}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-\frac{9}{19}}{\frac{15}{19}}
Dividing by \frac{15}{19} undoes the multiplication by \frac{15}{19}.
x=\frac{19y}{15}-\frac{3}{5}
Divide y-\frac{9}{19} by \frac{15}{19} by multiplying y-\frac{9}{19} by the reciprocal of \frac{15}{19}.
y-1=\frac{-1}{-\frac{19}{15}}\left(x-\frac{2}{3}\right)
Subtract \frac{2}{3} from -\frac{3}{5} to get -\frac{19}{15}.
y-1=-\left(-\frac{15}{19}\right)\left(x-\frac{2}{3}\right)
Divide -1 by -\frac{19}{15} by multiplying -1 by the reciprocal of -\frac{19}{15}.
y-1=\frac{15}{19}\left(x-\frac{2}{3}\right)
Multiply -1 and -\frac{15}{19} to get \frac{15}{19}.
y-1=\frac{15}{19}x-\frac{10}{19}
Use the distributive property to multiply \frac{15}{19} by x-\frac{2}{3}.
y=\frac{15}{19}x-\frac{10}{19}+1
Add 1 to both sides.
y=\frac{15}{19}x+\frac{9}{19}
Add -\frac{10}{19} and 1 to get \frac{9}{19}.
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}