Question

1. solve by graphing \\(\

$$\begin{cases} y = -4x + 7 \\\\ y = x - 3 \\end{cases}$$

\\)

Explanation:

Step1: Find intercepts for $y=-4x+7$

When $x=0$, $y=7$; when $y=0$, $0=-4x+7 \implies x=\frac{7}{4}=1.75$

Step2: Find intercepts for $y=x-3$

When $x=0$, $y=-3$; when $y=0$, $0=x-3 \implies x=3$

Step3: Graph both lines, find intersection

Set $-4x+7=x-3$, solve for $x$:
$-4x - x = -3 -7$
$-5x = -10$
$x=2$
Substitute $x=2$ into $y=x-3$: $y=2-3=-1$

Answer:

The solution is $(2, -1)$