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Dmitry [639]
3 years ago
5

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

Mathematics
1 answer:
FrozenT [24]3 years ago
7 0

Answer: OPTION C.

Step-by-step explanation:

The systems of linear equations can have:

1. <u>No solution:</u> 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. <u>One solution</u>: 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. I<u>nfinitely many solutions</u>: 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 <em><u>never</u></em> have more than one solution.

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