Question

solve the system of equations by graphing
\

$$\begin{cases} x = -3 \\\\ y = \\frac{4}{3}x + 2 \\end{cases}$$

options: (-3, -7), (-3, 2), (-3, -6), (-3, 6)

Explanation:

Step1: Substitute \( x = -3 \) into the second equation

We have the system \(

$$\begin{cases}x = -3\\y=\frac{4}{3}x + 2\end{cases}$$

\). Substitute \( x=-3 \) into \( y=\frac{4}{3}x + 2 \).
\( y=\frac{4}{3}\times(-3)+2 \)

Step2: Calculate the value of \( y \)

First, calculate \(\frac{4}{3}\times(-3)\), which is \( -4 \). Then add 2: \( y=-4 + 2=-2 \).

Step3: Determine the solution

Since \( x = -3 \) and \( y=-2 \), the solution to the system is the ordered pair \((-3,-2)\).

Answer:

\((-3, -2)\)