Systems of equations with different slopes and different y-intercepts have more than one solution.

Asked by maham237 @ in Mathematics viewed by 338 People

Systems of equations with different slopes and different y-intercepts have more than one solution.
A. Always
B. Sometimes
C. Never

Answered by maham237 @


Answer: OPTION C.

Step-by-step explanation:

The systems of linear equations can have:

1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.


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