Discover new information and get your questions answered with IDNLearn.com. Our community provides timely and precise responses to help you understand and solve any issue you face.

Which number of solutions is not possible for a system of two linear equations?
A. 2
B. 1
C. O
D. infinite
Please select the best answer from the choices provided
ABCD


Sagot :

A system of two linear equations can have the following types of solutions:

1. Unique solution (one solution): This occurs when the two lines intersect at exactly one point. This is the case when the slopes of the two lines are different.

2. No solution: This occurs when the lines are parallel and do not intersect at any point. This happens when the slopes of the two lines are equal, but the y-intercepts are different.

3. Infinite solutions: This occurs when the two lines are coincident, meaning they are the exact same line. In this case, every point on one line is also a point on the other line. This happens when both the slopes and y-intercepts of the two lines are the same.

It is not possible for a system of two linear equations to have exactly two solutions. A system can only intersect at one point (unique solution), not intersect at all (no solution), or coincide completely (infinite solutions).

Therefore, the number of solutions that is not possible for a system of two linear equations is:

A. 2