Question

1. solve the system graphically.

$y = 2x + 3$
$x + y = 1.5$

1. solve the system graphically.

$2x - 3y + 2 = 0$
$y = 1.5 - x$

1. solve the system graphically.

$y - 2 = 0.5(x - 6)$
$5x - 1 = y$

Explanation:

Problem 9

Step1: Rewrite second equation

$y = -x + 1.5$

Step2: Find intersection

Set $2x + 3 = -x + 1.5$ → $3x = -1.5$ → $x = -0.5$; $y = 2(-0.5)+3=2$

Problem 10

Step1: Rewrite first equation

$y = \frac{2}{3}x + \frac{2}{3}$

Step2: Find intersection

Set $\frac{2}{3}x + \frac{2}{3} = 1.5 - x$ → $\frac{5}{3}x = \frac{5}{6}$ → $x=0.5$; $y=1.5-0.5=1$

Problem 11

Step1: Rewrite first equation

$y = 0.5x - 1$

Step2: Find intersection

Set $0.5x -1 = 5x -1$ → $-4.5x=0$ → $x=1$; $y=5(1)-1=4$

Answer:

$(-0.5, 2)$