Systems of equations with different slopes and different y-intercepts have one solution?

Mathematics

1 answer:

Artemon [7]3 years ago

6 0

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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PLEASE HELP !!!!!!!!!!!!!!!!!

Gelneren [198K]

Answer:

Using the given information in the problem, the final evaluated answer is 31.

Step-by-step explanation:

3² + (8 - 2) · 4 - 6/3

First, subtract 2 from 8.

3² + 6 · 4 - 6/3

Next, evaluate the exponent in 3².

9 + 6 · 4 - 6/3

Now, multiply 6 by 4.