Solve {l}{y=3x-1/(x+1)^2}{x=3}

$$\left. \begin{array} { l } { y = \frac { 3 x - 1 } { ( x + 1 ) ^ { 2 } } } \\ { x = 3 } \end{array} \right.$$

Solve for y, x

$$x=3$$

$$y=\frac{1}{2}=0.5$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$y=\frac{3\times 3-1}{\left(3+1\right)^{2}}$$

Multiply 3 and 3 to get 9.

$$y=\frac{9-1}{\left(3+1\right)^{2}}$$

Subtract 1 from 9 to get 8.

$$y=\frac{8}{\left(3+1\right)^{2}}$$

Add 3 and 1 to get 4.

$$y=\frac{8}{4^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$y=\frac{8}{16}$$

Reduce the fraction \frac{8}{16} to lowest terms by extracting and canceling out 8.

$$y=\frac{1}{2}$$

The system is now solved.

$$y=\frac{1}{2} x=3$$