Respuesta :

Answer: See below

Step-by-step explanation:

a) 3x-6y=-12

x-2y=-8  --> x=-8+2y

3x-6y=-12

3(-8+2y)-6y=12

-12+6y-6y=-12

-24=-12

The statement is false for any value of y

b) If you solve the equations for y into slope-intercept form, they have the same slope

--> 3x-6y=-12

6y=12-3x

6 ÷ (6y=-12+3x) ÷ 6

y=1/2x+2

--> y=1/2x+2

x-2y=-8

-2y=-8-x

2 ÷ (2y=8+x) ÷ 2

y=1/2x+4

Since the slopes of the 2 lines are the same, they are parallel, and will never intersect

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