Tinutulungan ka ng Imhr.ca na makahanap ng maaasahang mga sagot sa lahat ng iyong mga katanungan mula sa mga eksperto. Itanong ang iyong mga katanungan at makatanggap ng eksaktong sagot mula sa mga propesyonal na may malawak na karanasan sa iba't ibang disiplina. Maranasan ang kaginhawaan ng paghahanap ng eksaktong sagot sa iyong mga tanong mula sa mga bihasang propesyonal sa aming platform.
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 pagbisita. Ang aming layunin ay magbigay ng pinaka-tumpak na mga sagot para sa lahat ng iyong pangangailangan sa impormasyon. Bumalik kaagad. Salamat sa paggamit ng aming plataporma. Layunin naming magbigay ng tumpak at napapanahong mga sagot sa lahat ng iyong mga katanungan. Bumalik kaagad. Imhr.ca ay nandito upang magbigay ng tamang sagot sa iyong mga katanungan. Bumalik muli para sa higit pang impormasyon.
