Question

Will Fan+Medal :)


How many solutions does this system of equations have?

y = –3x + 7
y = –3x – 6

Answer 1

infinitely many
2
1
0

Answer 2

@pooja195 ?
:)

Answer 3

@sammixboo ?
:)

Answer 4

@DanJS ?

Answer 5

both have the same slope but different y - intercepts

Answer 6

what can you say about that

Answer 7

That there are more than one?

Answer 8

both have the same slope, but different Y intercepts

Answer 9

The solutions are where the lines intersect, the points (x,y)

Answer 10

Oh... so would it be two, ore infinitely many?

Answer 11

If two lines have the same slope, and different y intercepts, they are parallel

Answer 12

parallel lines do not intersect.
The solution to the system of equations, if any, are where the two lines intersect.

Answer 13

infinitely many solutions describes a system where both equations are the same line. they overlap one another.

Answer 14

parallel lines , are a system of equations that do not intersect, and have no solutions

Answer 15

Oh :) so the correct answer would be D?

Answer 16

y = -3x+7
y = -3x - 6

trying to solve these, since they are already each solved for y, you can set Y=Y or

-3x + 7 = -3x -6

adding 3x to both sides leaves

7 = -6

if you get nonsense like that false statement, then the lines are parallel, and have zero solutions

Answer 17

An example of infinite solutions would be something like

y = -6x + 14
y = -6x + 14
obviously the same line, when you try to solve

y = y

-6x + 14 = -6x + 14 add 6x on both sides

14 = 14

if you get a true statement like that, then the lines are the same line, and overlap, and have infinite solutions

Answer 18

Thank you so much... you are so helpful :)

Answer 19

welcome, anytime

Answer 20

your medal, just pushed me to 97, woohoo

Answer 21

Yay :)