Question

1. A consistent system of equations is a system with __________.

the same line

parallel lines

intersecting lines and lines that have the same slope

intersecting lines and lines that have the same equation

2. The graph of a system of equations with different slopes will have no solutions.

Always

Sometimes

Never

Answer 1

i feel like it either A or D for the first one @Kainui

Answer 2

Consistent system of equations has a one solution or infinitely many solutions. (intersecting or overlapping lines)

A system that will have no solution when the slope of lines are the same but they have different y-intercepts.

Answer 3

so is 2 sometimes?

Answer 4

the question says "different slopes" and i said that the lines will have \(no\) solutions \(if\) the "slope of lines are the same but they have different y-intercepts."

Different slopes will always have a solution (unless the lines are skewed in 3D).

Answer 5

so never

Answer 6

yep

Answer 7

ok but i still don't get 1

Answer 8

"Consistent system of equations has a one solution or infinitely many solutions. (\(\Large intersecting\) or overlapping lines)"

overlapping means that the lines have same slope.

Answer 9

i think its D though

Answer 10

am I right?

Answer 11

yes, you are right.
i forgot to tell same slope and same intercepts :)

Answer 12

thats fine thank you zoo much! :)

Answer 13

soo*

Answer 14

welcome :)