Question

The systems shown have the same solution set.
True
False


https://media.glynlyon.com/g_alg01_2012/5/m90920c.gif
https://media.glynlyon.com/g_alg01_2012/5/m90921a.gif

Answer 1

the 1st set shows, on line on top of another, 2 lines going the same exact way
the 2nd set shows the same thing


usually when you have a system of equations, when the graph of the 1st equation
is the graph also of the 2nd equation, it means both equations are the same
like x + 3 = 6 and 2x + 6 = 12
notice the 2nd equation is just the 1st one multiplied by 2, so it's really the same exact line

such cases have an infinite number of solutions and is thus \(\bf \text{dependent}\)
in this 2 cases both sets are dependent

Answer 2

So its a infinite amount of solutions?

Answer 3

yes

Answer 4

Alright so the awnwser is true

Answer 5

indeed

Answer 6

alright thank you once again :)

Answer 7

Not quite.
The above explanation is correct for the first system.
The second system consists of two parallel lines. One is the y axis and one is to its left. That systen shows no soluion and is inconsistent.

Answer 8

After the excellent explanation above, I'm sure @jdoe0001 just missed the extra arrow heads on the y-axis of the second graph.

Answer 9

Oh so its false?

Answer 10

Yes, it's false.

Answer 11

thanks!

Answer 12

hmmm, ohh ... I saw 2 arrows set on the "y" on the 2nd set

Answer 13

In the first graph, every point on the line is a solution. In the second graph, the lines are parallel and there is no solution. The solution sets are different, therefore, the statement is false.

Answer 14

so many arrows on the 2nd I guess I ended up seeing one too many arrows heheh

Answer 15

I gather yes, the 1st is dependent, the 2nd is inconsistent