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).

## Answer This Question

## Related Questions

- algebra - Can someone please help. When you solve a system of equations by the ...
- algebra - Can someone help me figure this out please? when you solve a system of...
- College Algebra - solve each system by substitution method x=y+3 3x-2y=4 Pls ...
- algebra - when you solve a system of equations by the substitution method, how ...
- Algebra question - When you solve a system of equations by the substitution ...
- Algebra - Explain how you can determine from the graph of a system of two linear...
- Linear Equations - Can you please help solve this equation using the ...
- algebra - solve the system of equations by graphing. Then classify the system as...
- Math 116 - Consider the following system of equations. y=2x-2 y-2x=9 What can ...
- math - Consider the following system of equations. y = 2x - 2 y - 2x = 7 What ...

More Related Questions