Solve {l}{x=-1/2}{f(x)=1/x?}

$$\left. \begin{array} { l } { x = - \frac { 1 } { 2 } } \\ { f ( x ) = \frac { 1 } { x } ? } \end{array} \right.$$

Solve for x, f

$$x=-\frac{1}{2}=-0.5$$

$$f=4$$

Solution Steps

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

$$f\left(-\frac{1}{2}\right)=\frac{1}{-\frac{1}{2}}$$

Divide 1 by -\frac{1}{2} by multiplying 1 by the reciprocal of -\frac{1}{2}.

$$f\left(-\frac{1}{2}\right)=1\left(-2\right)$$

Multiply 1 and -2 to get -2.

$$f\left(-\frac{1}{2}\right)=-2$$

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$f=-2\left(-2\right)$$

Multiply -2 and -2 to get 4.

$$f=4$$

The system is now solved.

$$x=-\frac{1}{2} f=4$$