Question

A system of two linear equations has an infinite number of solutions. How is this possible?
A.
It's not; the graphs of the two equations can intersect only once.
B.
The two equations are the same line.
C.
The equations are parallel lines.
D.
There was an error in solving the system.

Answer 1

What do you think?

Answer 2

it's certainly true that DISTINCT LINEAR equation can only intersect, at most, once.

Answer 3

If the lines are parallel, they would never intersect - so there would be NO solutions. Certainly not infinite.

Answer 4

B

Answer 5

Its A Isnt It ?

Answer 6

b

Answer 7

But what if you have a system like:

4x+2y=10
2x+y=5

What does that look like? how many points (x,y) satisfy both?

Answer 8

you should keep in mind that a single line may be expressed in many different ways using either the standard or point-slope form of a line.
however, the slope-intercept form of a line is unique.
so if you think 2 different lines may be the same line, put both into slope-intercept form and compare

Answer 9

b