Solve {l}{g{(x)}=6}{h=x}{text{Solvefor}itext{where}}{i=h}

$$\left. \begin{array} { l } { g {(x)} = 6 }\\ { h = x }\\ { \text{Solve for } i \text{ where} } \\ { i = h } \end{array} \right.$$

Solve for g, x, h

$$x=i$$

$$g=-6i$$

$$h=i$$

Solution Steps

Consider the third equation. Swap sides so that all variable terms are on the left hand side.

$$h=i$$

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

$$i=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=i$$

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

$$gi=6$$

Divide both sides by i.

$$g=\frac{6}{i}$$

Multiply both numerator and denominator of \frac{6}{i} by imaginary unit i.

$$g=\frac{6i}{-1}$$

Divide 6i by -1 to get -6i.

$$g=-6i$$

The system is now solved.

$$g=-6i x=i h=i$$