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Systems of equations with different slopes and different y-intercepts have more than one solution. (5 points)

Always
Sometimes
Never ​

User Evdokia
by
4.9k points

2 Answers

3 votes

Answer:

The answer should be never, I took the test and I got it right!

Explanation:

User Febin K R
by
5.7k points
3 votes

Answer:

The correct answer would be never

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.

I hope this helps

User Thomas Joulin
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5.3k points