Question

e. $y = -2x - 9$
12.) solve the system of equations:.
$\

$$\begin{cases} y = 4x - 3 \\\\ y = -2x + 9 \\end{cases}$$

$
13.) solve the system of equations:

Explanation:

Step1: Set equations equal

Since $y = 4x - 3$ and $y = -2x + 9$, set $4x - 3 = -2x + 9$.

Step2: Solve for x

Add $2x$ to both sides: $6x - 3 = 9$. Add 3 to both sides: $6x = 12$. Divide by 6: $x = \frac{12}{6} = 2$.

Step3: Find y using x=2

Substitute $x=2$ into $y = 4x - 3$: $y = 4(2) - 3 = 8 - 3 = 5$.

Answer:

$x=2$, $y=5$ (or the ordered pair $(2, 5)$)