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14 November, 02:24

In the following equations, a and b are equal. Which number could be substituted for both a and b to make both equations correct?

15x0=-36+a

24x8x0=36-b

a.-36

b. 51

c. 36

d.-51

+1
Answers (1)
  1. 14 November, 04:18
    0
    The Answer is c. 36

    Proof.

    Solve the following system:

    {0 = a - 36 | (equation 1)

    {0 = 36 - b | (equation 2)

    Express the system in standard form:

    {-a+0 b = - 36 | (equation 1)

    {0 a+b = 36 | (equation 2)

    Multiply equation 1 by - 1:

    {a+0 b = 36 | (equation 1)

    {0 a+b = 36 | (equation 2)

    Collect results:

    Answer: {a = 36 {b = 36
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