Posted by **algebra** on Wednesday, March 21, 2012 at 12:27pm.

When you solve a system of equations by the substitution method, how do you determine whether the system of equations is inconsistent?

- algebra -
**Henry**, Thursday, March 22, 2012 at 7:27pm
The solution to a system of linear Eqs is the point where they intesect. If the lines are parallel, they cannot

intersect and, therefore, have no solution.

If we solve the Eqs of two parallel lines, the answer will not make sense.

For example, we could get -15 = 30 which is not true and doesn't make

sense.

We could easily calculate and compare the slopes before solving the Eqs.

If the slopes are equal, the lines are parallel and have no solution(inconsistent).

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