Solve for y
y=8
Graph
Share
Copied to clipboard
\sqrt{3y+1}-2-\left(-2\right)=3-\left(-2\right)
Add 2 to both sides of the equation.
\sqrt{3y+1}=3-\left(-2\right)
Subtracting -2 from itself leaves 0.
\sqrt{3y+1}=5
Subtract -2 from 3.
3y+1=25
Square both sides of the equation.
3y+1-1=25-1
Subtract 1 from both sides of the equation.
3y=25-1
Subtracting 1 from itself leaves 0.
3y=24
Subtract 1 from 25.
\frac{3y}{3}=\frac{24}{3}
Divide both sides by 3.
y=\frac{24}{3}
Dividing by 3 undoes the multiplication by 3.
y=8
Divide 24 by 3.
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}