Question

If the graphs of a system of linear equations are the same line, how many solutions does the system have?

Answer 1

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Explanation:

Answer 2

1) no, because a solution must be an ordered triple pair (x,y,z)

2) { x+y+z=5

{ 2x-3y+z=7

{ x+2y-4z=2

3) infinity many solutions

4) use equations (1) and (2) to eliminate y

5) solve one equation for one of its variables

Explanation:

should be 100% on the quick check if you put those answers