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when solving a system of linear equations algebraically, how do you know when the system has no solution

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If a linear equation has the same variable term but different constant values on opposite sides of the equation, it has no solutions.

How do you tell if a system of equations has no solution algebraically?

If a linear equation has the same variable term but different constant values on opposite sides of the equation, it has no solutions.

What does a system look like if it has no solution?

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

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