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31 May, 08:06

X + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

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Answers (1)
  1. 31 May, 08:27
    0
    (10, 14)

    Step-by-step explanation:

    To solve this system let's use substitution:

    Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:

    3 (24 - y) + 5y = 100

    Performing the indicated multiplication, we get:

    72 - 3y + 5y = 100

    Combining like terms results in 72 - 100 = - 2y, or - 28 = - 2y

    Thus, y must be 14.

    If y = 14, then the first equation tells us that x = 10.

    Check: Is this true? 3 (10) + 5 (14) = 100 YES

    The solution is (10, 14).

    What was it about the questions on the best that you were supposed to compare to this solution?
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