Solve for x
x=\frac{1-7y}{5}
Solve for y
y=\frac{1-5x}{7}
Graph
Share
Copied to clipboard
2x+3y-7x=10y-1
Subtract 7x from both sides.
-5x+3y=10y-1
Combine 2x and -7x to get -5x.
-5x=10y-1-3y
Subtract 3y from both sides.
-5x=7y-1
Combine 10y and -3y to get 7y.
\frac{-5x}{-5}=\frac{7y-1}{-5}
Divide both sides by -5.
x=\frac{7y-1}{-5}
Dividing by -5 undoes the multiplication by -5.
x=\frac{1-7y}{5}
Divide 7y-1 by -5.
2x+3y-10y=7x-1
Subtract 10y from both sides.
2x-7y=7x-1
Combine 3y and -10y to get -7y.
-7y=7x-1-2x
Subtract 2x from both sides.
-7y=5x-1
Combine 7x and -2x to get 5x.
\frac{-7y}{-7}=\frac{5x-1}{-7}
Divide both sides by -7.
y=\frac{5x-1}{-7}
Dividing by -7 undoes the multiplication by -7.
y=\frac{1-5x}{7}
Divide 5x-1 by -7.
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}