Randyclaroidn
Answered

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how would you describe the graphs of 3x+y=5and 2x+y=9?how about 3x-y=4 and y=3x+2?x+3y=6 and 2x +6y=12?

Sagot :

First pair:  Intersecting lines

Second Pair: Parallel line (different slope, different  intercepts)

Third Pair:   Coinciding Lines (same slope, same intercepts)
Bellalesseidn
[tex] \left \{ {{3x + y = 5} \atop {2x + y = 9}} \right. [/tex]
 
    Kind of system: Consistent Independent
    Type of line: Intersecting Lines
    SS: {( -4, 17)

[tex] \left \{ {{3x - y = 4} \atop {y = 3x + 2}} \right. [/tex]
 
   Kind of system: Inconsistent
   Type of line: Parallel Lines
   SS: { }

[tex] \left \{ {{x + 3y = 6} \atop {2x + 6y = 12}} \right. [/tex]
 
   Kind of system: Consistent Dependent
   Type of line: Coinciding Lines
   SS: {(x, y) l y = -x/3 + 2}

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