Question

part 2: open ended response
directions: answer the open-ended response questions 9 - 12 by writing directly in the test booklet.
show all work.

1. solve the system of equations shown below. (3 points)

$\

$$\begin{cases} y = -2x + 1 \\\\ 4x + y = 9 \\end{cases}$$

$

Explanation:

Step1: Substitute $y$ into second equation

Substitute $y=-2x+1$ into $4x+y=9$:
$4x + (-2x + 1) = 9$

Step2: Simplify and solve for $x$

Combine like terms and isolate $x$:
$4x - 2x + 1 = 9$
$2x + 1 = 9$
$2x = 9 - 1$
$2x = 8$
$x = \frac{8}{2} = 4$

Step3: Find $y$ using $x=4$

Substitute $x=4$ into $y=-2x+1$:
$y = -2(4) + 1 = -8 + 1 = -7$

Answer:

$x=4$, $y=-7$ or the ordered pair $(4, -7)$