# 2x-5y-5=0and3x-7y-2=0 identify whether each pair of equation is INDEPENDENT or DEPENDENT and CONSISITENTor INCONSISITENT

1
by kuliling

• 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.