Math

Solve the systems using substitution.

1.6x + 2y = -2
4x + y = 1

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  1. Eq1: 1.6X + 2Y = -2.

    Eq2: 4x + y = 1.

    Solve for y in Eq1:
    4X + Y = 1,
    Y = -4X + 1.
    Substitute -4X+1 for Y in Eq1:
    1.6X + 2(-4X + 1) = -2,
    1.6X -8X + 2 = -2,
    -6.4X = -4,
    X = 0.625.

    In Eq2, substitute 0.625 for X:
    4*0.625 + Y = 1,
    2.5 + Y = 1,
    Y = 1 - 2.5 = -1.5.

    Solution set = (X,Y) = (0.625,-1.5).

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