Solve {l}{-x*7=300}{text{Solvefor}ytext{where}}{y=22*x}

$$\left. \begin{array} { l } { -x \cdot 7 = 300 }\\ { \text{Solve for } y \text{ where} } \\ { y = 22 \cdot x } \end{array} \right.$$

Solve for x, y

$$y = -\frac{6600}{7} = -942\frac{6}{7} \approx -942.857142857$$

Solution Steps

Consider the first equation. Divide both sides by 7.

$$-x=\frac{300}{7}$$

Divide both sides by -1.

$$x=\frac{\frac{300}{7}}{-1}$$

Express \frac{\frac{300}{7}}{-1} as a single fraction.

$$x=\frac{300}{7\left(-1\right)}$$

Multiply 7 and -1 to get -7.

$$x=\frac{300}{-7}$$

Fraction \frac{300}{-7} can be rewritten as -\frac{300}{7} by extracting the negative sign.

$$x=-\frac{300}{7}$$

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

$$y=22\left(-\frac{300}{7}\right)$$

Multiply 22 and -\frac{300}{7} to get -\frac{6600}{7}.

$$y=-\frac{6600}{7}$$

The system is now solved.

$$x=-\frac{300}{7} y=-\frac{6600}{7}$$