Question

solution:
$y = 3x - 4$
$y = x + 1$

Explanation:

Step1: Set equations equal

$x + 1 = 2x - 4$

Step2: Isolate x variable

$1 + 4 = 2x - x$

Step3: Solve for x

$x = 5$

Step4: Find y with x=5

$y = 5 + 1 = 6$

Answer:

The solution to the system is $(5, 6)$

To graph the lines:

1. For $y = x + 1$: plot the y-intercept $(0,1)$, then use slope 1 to plot another point like $(1,2)$, and draw the line.
2. For $y = 2x - 4$: plot the y-intercept $(0,-4)$, then use slope 2 to plot another point like $(1,-2)$, and draw the line. The two lines intersect at $(5,6)$.