Solve and explain the system of equations 2x-y=-4 and 8x-4y=8, and demonstrate why they have "no solution."

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We are asked to show that the system of equations 2x-y=-4 and 8x-4y=8 has no solutions.

A system of linear equations is said to be consistent if it has solutions. If there are two linear equation in two unknowns, a system with a unique solution is said to be consistent and independent, whereas such a system with multiple solutions is consistent and dependent. A system with no solutions is inconsistent.

A linear system of two equations...

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