Solve {l}{-4x=7}{text{Solvefor}ytext{where}}{y=3x^2}

$$\left. \begin{array} { l } { -4 x = 7 }\\ { \text{Solve for } y \text{ where} } \\ { y = 3 x ^ {2} } \end{array} \right.$$

Solve for x, y

$$y = \frac{147}{16} = 9\frac{3}{16} = 9.1875$$

Solution Steps

Consider the first equation. Divide both sides by -4.

$$x=-\frac{7}{4}$$

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

$$y=3\left(-\frac{7}{4}\right)^{2}$$

Calculate -\frac{7}{4} to the power of 2 and get \frac{49}{16}.

$$y=3\times \frac{49}{16}$$

Multiply 3 and \frac{49}{16} to get \frac{147}{16}.

$$y=\frac{147}{16}$$

The system is now solved.

$$x=-\frac{7}{4} y=\frac{147}{16}$$