Question

The graph of the following system of equations is
2x + y = 6
6x + 3y = 12

Answer 1

A Overlapping lines
B Parallel lines
C Intersecting lines

Answer 2

Hint: Divide both sides of the second equation by 3

Answer 3

If you want to know that you should write both lines in the y = mx + b form.
y = -2x + 6
y = (12 - 6x ) / 3 = -2x + 4
As you see both line has the -2 in front of the x.
Therefore they are parallel to each other .

Answer 4

Since the b term differ, 4 and 6, the lines are not overlapping :)

Answer 5

2x + y = 6
2x + y = 4

Is sufficient enough to see that they are parallel lines.

Answer 6

Since everything on the left side is the same.

Answer 7

Interesting, thanks.

Answer 8

thank you all for your help :)