A.infinitely manyB.oneD.zero
Four.
4
There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many solutions.
None, one or infinitely many.
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
Yes.
A.infinitely manyB.oneD.zero
Four.
4
There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many solutions.
A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.
None, one or infinitely many.
They are a set of equations in two unknowns such that any term containing can contain at most one of the unknowns to the power 1. A system of linear equations can have no solutions, one solution or an infinite number of solutions.
This can happen in different ways: a) More variables than equations. For instance, a single equation with two variables (such as x + y = 15), two equations with three variables, two equations with four variables, etc. b) To of the equations describe the same line, plane, or hyper-plane - this, in turn, will result in that you "really" have less equations than it seems. For example: y = 2x + 3 2y = 4x + 6 The second equation is simply the first equation multiplied by 2.
Yes. You can obviously have a set of lines with no common intersection, can't you?
An equation with two variables . . . seriously!An equation with one variable can be can be solved, but when there are two variables, you need two equations. This is called a system of two equations in two variables.Three equations in three variables, etc.