Solve for t
t=\frac{34y-10}{9}
Solve for y
y=\frac{9t}{34}+\frac{5}{17}
Graph
Share
Copied to clipboard
136y-20=68y+18t
Combine 130y and 6y to get 136y.
68y+18t=136y-20
Swap sides so that all variable terms are on the left hand side.
18t=136y-20-68y
Subtract 68y from both sides.
18t=68y-20
Combine 136y and -68y to get 68y.
\frac{18t}{18}=\frac{68y-20}{18}
Divide both sides by 18.
t=\frac{68y-20}{18}
Dividing by 18 undoes the multiplication by 18.
t=\frac{34y-10}{9}
Divide 68y-20 by 18.
136y-20=68y+18t
Combine 130y and 6y to get 136y.
136y-20-68y=18t
Subtract 68y from both sides.
68y-20=18t
Combine 136y and -68y to get 68y.
68y=18t+20
Add 20 to both sides.
\frac{68y}{68}=\frac{18t+20}{68}
Divide both sides by 68.
y=\frac{18t+20}{68}
Dividing by 68 undoes the multiplication by 68.
y=\frac{9t}{34}+\frac{5}{17}
Divide 18t+20 by 68.
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}