Solve for y
y=2
Graph
Share
Copied to clipboard
-3\left(7y+3\right)=17\left(y-5\right)
Variable y cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by 3\left(y-5\right), the least common multiple of 5-y,3.
-21y-9=17\left(y-5\right)
Use the distributive property to multiply -3 by 7y+3.
-21y-9=17y-85
Use the distributive property to multiply 17 by y-5.
-21y-9-17y=-85
Subtract 17y from both sides.
-38y-9=-85
Combine -21y and -17y to get -38y.
-38y=-85+9
Add 9 to both sides.
-38y=-76
Add -85 and 9 to get -76.
y=\frac{-76}{-38}
Divide both sides by -38.
y=2
Divide -76 by -38 to get 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}