Question

solve for x and y by graphing the system of linear equations. drag the points to move the lines on the graph. then write the solution as an ordered pair. if no solution exists, write
o solution\. if infinite solutions exist, write \infinite solutions\. \\(\

$$\begin{cases} y = -\\frac{6}{5}x - 4 \\\\ y = -\\frac{7}{5}x - 5 \\end{cases}$$

\\) show your work here

Explanation:

Step1: Set equations equal

Since \( y = -\frac{6}{5}x - 4 \) and \( y = -\frac{7}{5}x - 5 \), set them equal:
\( -\frac{6}{5}x - 4 = -\frac{7}{5}x - 5 \)

Step2: Solve for \( x \)

Add \( \frac{7}{5}x \) to both sides:
\( \frac{1}{5}x - 4 = -5 \)
Add 4 to both sides:
\( \frac{1}{5}x = -1 \)
Multiply by 5:
\( x = -5 \)

Step3: Solve for \( y \)

Substitute \( x = -5 \) into \( y = -\frac{6}{5}x - 4 \):
\( y = -\frac{6}{5}(-5) - 4 = 6 - 4 = 2 \)

Answer:

\((-5, 2)\)