Question

here is a system of equations.
\

$$\begin{cases} y = 3x - 6 \\\\ y = x - 4 \\end{cases}$$

graph the system. then write its solution. note that you can also answer
o solution\ or \infinitely many\ solutions.

Explanation:

Step1: Set equations equal

$3x - 6 = x - 4$

Step2: Solve for x

$3x - x = -4 + 6$
$2x = 2$
$x = 1$

Step3: Substitute x to find y

$y = 1 - 4 = -3$

Step4: Verify the solution

For $y=3x-6$: $y=3(1)-6=-3$
For $y=x-4$: $y=1-4=-3$

Answer:

The solution is $(1, -3)$

To graph:

1. For $y=3x-6$: plot the y-intercept $(0, -6)$, then use slope $3$ (rise 3, run 1) to plot a second point, then draw the line.
2. For $y=x-4$: plot the y-intercept $(0, -4)$, then use slope $1$ (rise 1, run 1) to plot a second point, then draw the line. The lines intersect at $(1, -3)$.