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15 August, 00:45

Consider this system of equations:

x - y = 11

5x + 4y = 100

For each ordered pair, determine whether it is a solution to the system of

equations. Explain how you know.

a. (12,1)

b. (16,5)

C. (20,0)

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Answers (1)
  1. 15 August, 04:00
    0
    a is not a solution, b is a solution, c is not a solution

    Step-by-step explanation:

    a) Plug x and y into the two equations.

    12-1=11 (that is correct)

    5*12+4*1=64 (that does not equal 100)

    therefore, "a" is not a solution

    b) 16-5=11 (that is the answer to the system)

    16*5+5*4 = 80+20=100 (that is the answer to the second equation)

    Therefore, "b" is a solution

    c) 20-0=20 (that is not 11)

    Therefore "c" is not a solution
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