Which of the following systems is possible? a system of two linear equations with exactly two solutions a system of two linear equations that is consistent and has no solutions a system of two linear equations that is dependent and has exactly one solution a system of two linear equations that is independent and has no solutions

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Answer:

A system of two linear equations that is independent and has no solution

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A system of two linear equations that is independent and has no solution.

Linear equations

  • A linear equation in one variable is an equation in which there is only one variable present. It is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution.
  • There are three types of systems of linear equations in two variables, and three types of solutions. An independent system has exactly one solution pair (x,y). The point where the two lines intersect is the only solution. An inconsistent system has no solution.

Hence, A system of two linear equations that is independent and has no solution.

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