Question

unit 5 - system of equations manny claims that (2,10) is the point of intersection of the lines y = 6x - 2 and y = x + 8. is he yes no

Explanation:

Step1: Test point in first equation

Substitute $x=2, y=10$ into $y=6x-2$:
$10 = 6(2) - 2$
$10 = 12 - 2$
$10 = 10$ (True)

Step2: Test point in second equation

Substitute $x=2, y=10$ into $y=x+8$:
$10 = 2 + 8$
$10 = 10$ (True)

Step3: Verify intersection condition

Since the point satisfies both equations, it is the intersection point.

Answer:

Yes