Solve for y
y = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333
Graph
Share
Copied to clipboard
7y+3=10y-7
Combine 8y and 2y to get 10y.
7y+3-10y=-7
Subtract 10y from both sides.
-3y+3=-7
Combine 7y and -10y to get -3y.
-3y=-7-3
Subtract 3 from both sides.
-3y=-10
Subtract 3 from -7 to get -10.
y=\frac{-10}{-3}
Divide both sides by -3.
y=\frac{10}{3}
Fraction \frac{-10}{-3} can be simplified to \frac{10}{3} by removing the negative sign from both the numerator and the denominator.
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}