Answers

  • Brainly User
2016-01-09T13:43:53+08:00
Change to slope-intercept form:

2x - 5y - 5 = 0
-5y = -2x + 5
-5y/-5 = -2x/-5 + 5/-5
y = ²/₅ x - 1
m = ²/₅         y-intercept = -1

3x - 7y -2 = 0
-7y = -3x + 2
-7y/-7 = -3x/-7 + 2/-7
y = ³/₇ x - ²/₇
m = ³/₇          y-intercept = -²/₇

ANSWER: The system is independent, because the pair of equation has different slopes and different y-intercepts.

Remember:
Independent system:
    - different slopes
    - different y-intercepts
    - line intersects in a graph, therefore, has one solution
      which is the point of intersection.

Dependent and consistent system:
   - same slopes
   - same y-intercepts
   - the lines are overlapping or coinciding in the graph
   - all the points on the overlapping graph are solution, 
     therefore, the system has many or infinite solutions.

Inconsistent system:
   - different slopes
   - different y-intercepts
   - the lines are parallel in the graph
   - no solution, because the lines do not meet at any point.


   
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