Study guides

☆☆

Q: What are the three different possible solutions of a linear system?

Write your answer...

Submit

Still have questions?

Related questions

No because they are essentially the same line

Any system of linear equations can have the following number of solutions: 0 if the system is inconsistent (one of the equations degenerates to 0=1) 1 if the system is linearly independent infinity if the system has free variables and is not inconsistent.

A system of linear equations can only have: no solution, one solution, or infinitely many solutions.

False. There can either be zero, one, or infinite solutions to a system of two linear equations.

Yes, a system can, in fact, have exactly two solutions.

As there is no system of equations shown, there are zero solutions.

If the equations are linear, they may have no common solutions, one common solutions, or infinitely many solutions. Graphically, in the simplest case you have two straight lines; these can be parallel, intersect in a same point, or actually be the same line. If the equations are non-linear, they may have any amount of solutions. For example, two different intersecting ellipses may intersect in up to four points.

1

A.infinitely manyB.oneD.zero

Yes.

NO! A linear system can only have one solution (the lines intersect at one point), no solution (the lines are parallel), and infinitely many solutions (the lines are equivalent).

No. At least, it can't have EXACTLY 3 solutions, if that's what you mean. A system of two linear equations in two variables can have:No solutionOne solutionAn infinite number of solutions

People also asked