Question

what do you mean by consistent equations ? example
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Answer 1

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CONSISTENT EQUATION:

➡In mathematics and in particularly in algebra, a linear or nonlinear system of equations is called as consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, that when substituted into each of the equations makes each equation hold true as an identity.

EXAMPLE:

➡The two equations y=2x+5 and y=4x+3 , form a system of equations . If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent .

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Answer 2

Solution

The two equations y=2x+5 and y=4x+3 , form a system of equations . The ordered pair that is the solution of both equations is the solution of the system.

A system of two linear equations can have one solution, an infinite number of solutions, or no solution. Systems of equations can be classified by the number of solutions.

If a system has at least one solution, it is said to be consistent .