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 the lines and about the number of solutions to the system?

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Answer:

Step-by-step explanation:

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

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The system has no solution. Thus, the lines are parallel to each other.

The system of the equation has no solution. The expression leads to the value that is 0=4, which means you concluded the final result as 0=4.

Do you think practically it is possible, never, it is not possible to equate zero with four, same in the solutions of the system in the lines, this kind of results will not be taken by the intersecting lines.

Hence, the above expression is the condition for "No Solution"

If we try to evaluate the solution of the system that has no solution or an infinite number of solutions, then the variables are canceled out and only the constant values are left that are not equal.

Therefore, The lines are parallel and the system of the equation has no solution.

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