Question 1003159: Without graphing, answer the following questions for the following linear system.
4x+3y=7
28x+21y=5
A) is the system inconsistent or 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 MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
A) is the system inconsistent or the equations dependent, or neither
If slopes are different, system is independent.
If slopes are same and intercepts are same, system is dependent.
If slopes are same and intercepts are not the same, system is inconsistent.
so, we need to find slopes; write your equations in slope-intercept form
=> =>
slope:
y-intercept:
=> => =>
slope:
y-intercept:
since slopes are  , but intercepts are  the same, system is 
B) is the graph a pair of intersecting lines, a pair of parallel lines or one line
since slopes are , we have a pair of parallel lines
C) does the system have one solution, no solution, or an infinite number of solutions.
if we have a pair of parallel lines, there will be  
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