Question

You use substitution to solve a system of equations and, after simplifying the equations, end with an expression that says 0=4. What does that say about the lines and about the number of solutions to the system?

Answer 1

It means there is no solution and the lines are parallel. It is called an inconsistent system

Explanation:

Answer 2

• the lines are parallel
• the number of solutions is zero

Explanation:

That says the system is "inconsistent", so the lines are parallel, and the number of solutions is zero.

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The attachment has an example of such a system.