Solve the system of equations using subtraction. 3y = -1/2x + 2 Y= -x + 9 A. (10,-1) B. (-1, 8) C. (

Question

Solve the system of equations using subtraction.
3y = -1/2x + 2
Y= -x + 9

A. (10,-1)
B. (-1, 8)
C. ( 20,-4)
D. (3,6)

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Answers ( No )

    0
    2021-11-25T21:05:37+00:00

    Mult the first eqn by -2, obtaining -6y = x – 4.

    Combine this result with the 2nd equation:

    -6y = x – 4
    Y= -x + 9
    ————–
    -5y = 5, so y = -1.  Subbing this result for y into the 2nd eqn, we get
    -1 = -x + 9, or -x = -10, or x = 10.

    the solution is then (10, -1).

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