Solve for y
y = -\frac{21}{2} = -10\frac{1}{2} = -10.5
Graph
Share
Copied to clipboard
5y-105=35y+210
Multiply both sides of the equation by 7.
5y-105-35y=210
Subtract 35y from both sides.
-30y-105=210
Combine 5y and -35y to get -30y.
-30y=210+105
Add 105 to both sides.
-30y=315
Add 210 and 105 to get 315.
y=\frac{315}{-30}
Divide both sides by -30.
y=-\frac{21}{2}
Reduce the fraction \frac{315}{-30} to lowest terms by extracting and canceling out 15.
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}