How many solutions does this linear system have? y is equal to negative 1 half x plus 4 x plus 2 y is equal to negative 8

Substitute y = −½x + 4 into x + 2y = −8. This gives x + 2(−½x + 4) = −8, which simplifies to 8 = −8, a contradiction. Therefore, the system has no solution.

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