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MathematicsMathematics
11 March, 09:31

Y = - A system of equations. y equals negative StartFraction one-half EndFraction x plus 4. x plus 2 y equals negative 8. x + 4

x + 2y = - 8

How many solutions does this linear system have?

one solution: (8, 0)

one solution: (0, 8)

no solution

infinite number of solutions

+2
Answers (1)
  1. 11 March, 10:17
    0
    Y = - 1/2x + 4

    X + 2y = - 8

    Replace y in the second equation with the first one:

    X + 2 (-1/2x + 4) = -8

    Simplify:

    X - X + 8 = - 8

    Simplify:

    8 = - 8

    Subtract 8 from both sides:

    0 = - 16

    This is a false statement, so there are no solutions.
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