Question

6.$(y = -2x + 6)LXB0(y = 2x - 5)$point: (2, -1) yes / no

Explanation:

Step1: Check (1,4) in first equation

Substitute $x=1, y=4$ into $y=-2x+6$:
$4 = -2(1) + 6$
$4 = -2 + 6$
$4 = 4$ (True)

Step2: Check (1,4) in second equation

Substitute $x=1, y=4$ into $2x+y=2$:
$2(1) + 4 = 2$
$2 + 4 = 2$
$6 = 2$ (False)

Step3: Check (2,-1) in first equation

Substitute $x=2, y=-1$ into $y=x-3$:
$-1 = 2 - 3$
$-1 = -1$ (True)

Step4: Check (2,-1) in second equation

Substitute $x=2, y=-1$ into $y=2x-5$:
$-1 = 2(2) - 5$
$-1 = 4 - 5$
$-1 = -1$ (True)

Answer:

1. NO
2. YES