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17 September, 07:49

Solve the following system:

y = x + 3

3x + y = 19

O (7,4)

O (-4,7)

O (4,7)

O (4.-7)

+4
Answers (1)
  1. 17 September, 08:13
    0
    (4, 7) (third answer choice)

    Step-by-step explanation:

    In the system

    y = x + 3

    3x + y = 19

    the first equation already gives y in terms of x. Thus we can substitute x + 3 for y in the second equation:

    3x + (x + 3) = 19, which simplifies to:

    4x = 16, yielding x = 4. Substituting 4 for x in the first equation, we get:

    y = (4) + 3 = 7.

    Thus, the solution is (4, 7) (third answer choice).
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