Solve for t
t=-\frac{x}{5}-\frac{y}{10}+\frac{3}{5}
Solve for x
x=-\frac{y}{2}-5t+3
Graph
Share
Copied to clipboard
-2x-10t=y-6
Swap sides so that all variable terms are on the left hand side.
-10t=y-6+2x
Add 2x to both sides.
-10t=2x+y-6
The equation is in standard form.
\frac{-10t}{-10}=\frac{2x+y-6}{-10}
Divide both sides by -10.
t=\frac{2x+y-6}{-10}
Dividing by -10 undoes the multiplication by -10.
t=-\frac{x}{5}-\frac{y}{10}+\frac{3}{5}
Divide y-6+2x by -10.
-2x-10t=y-6
Swap sides so that all variable terms are on the left hand side.
-2x=y-6+10t
Add 10t to both sides.
-2x=y+10t-6
The equation is in standard form.
\frac{-2x}{-2}=\frac{y+10t-6}{-2}
Divide both sides by -2.
x=\frac{y+10t-6}{-2}
Dividing by -2 undoes the multiplication by -2.
x=-\frac{y}{2}-5t+3
Divide y-6+10t 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}