Question 1005993: Without graphing, answer the questions for the following linear system.
5x+2y=1
35x+14y=9
a) Is the system inconsistent, or are the equations dependent or neither?
b) Is the graph a pair of intersecting lines, a pair of parallel lines or one line?
c) Does the system have one solution, no solution, or an infinite number of solutions?
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Put both eqns in slope-intercept form.
That means solve for y.
------
y = mx + b where m = slope and b = y-intercept.
====
If the slopes (m) are not equal, there's one intersection, one solution.
-----
If the slopes are equal, they're either parallel or coincident --> dependent, infinite # of solutions.
---------
If both the slope (m) and the y-int are equal, it's the same equation twice.
|
|
|
