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Sagot :
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.
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.
Salamat sa paggamit ng aming serbisyo. Layunin naming magbigay ng pinaka-tumpak na mga sagot para sa lahat ng iyong mga katanungan. Bisitahin muli kami para sa higit pang mga kaalaman. Umaasa kaming naging kapaki-pakinabang ang aming mga sagot. Bumalik anumang oras para sa karagdagang impormasyon at mga sagot sa iba pang mga tanong na mayroon ka. Imhr.ca ay laging nandito para magbigay ng tamang sagot. Bisitahin muli kami para sa pinakabagong impormasyon.
