Question

solve the system of linear equations by graphing.$\begin{cases} y = x + 1 \\ y = 2x - 6 end{cases}$use the graphing tool to graph the system.

Explanation:

Step1: Find intersection algebraically

Set $x+1 = 2x-6$

Step2: Solve for x

$1 + 6 = 2x - x$
$x = 7$

Step3: Find y-value

Substitute $x=7$ into $y=x+1$:
$y = 7 + 1 = 8$

Step4: Verify with second equation

Substitute $x=7$ into $y=2x-6$:
$y = 2(7)-6 = 14-6 = 8$

Answer:

The solution to the system is the point $(7, 8)$