Solve {l}{h=-1/144x^2+5/6x}{i=x}{text{Solvefor}jtext{where}}{j=i}

$$\left. \begin{array} { l } { h = -\frac{1}{144} x ^ {2} + \frac{5}{6} x }\\ { i = x }\\ { \text{Solve for } j \text{ where} } \\ { j = i } \end{array} \right.$$

Solve for h, x, j

$$j=i$$

Solution Steps

Consider the second equation. 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.

$$h=-\frac{1}{144}i^{2}+\frac{5}{6}i$$

Calculate i to the power of 2 and get -1.

$$h=-\frac{1}{144}\left(-1\right)+\frac{5}{6}i$$

Multiply -\frac{1}{144} and -1 to get \frac{1}{144}.

$$h=\frac{1}{144}+\frac{5}{6}i$$

The system is now solved.

$$h=\frac{1}{144}+\frac{5}{6}i x=i j=i$$