Systems.Given an example of a problem with a system of dependent equations.

Expert Answers
justaguide eNotes educator| Certified Educator

Dependent equations are a set of equations where all the coefficients have a common multiple. This gets eliminated and you are left with a single equation.

Attempting to solve a system of dependent equations will yield no results.

For example: x + y = 8 and 2x + 2y = 16, the common multiple for the terms of the second equation is 2 here.

giorgiana1976 | Student

Dependent equations describe the same line, though they are different. The system formed by dependent equations has an infinite number of solutions.

For instance:

3x + 4y = 2

6x + 8y = 4

We notice that we get the second equation multiplying by 2 the first equation.

So, both equations are equivalent and all points located on a line, they are located on the other line also.

The system has an infinite number of solutions.

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