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True [87]
3 years ago
12

Set up a system of linear equations, and then solve for the indicated quantities.

Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

9514 1404 393

Answer:

  • smaller: -4
  • larger: -1

Step-by-step explanation:

Substituting the given variables into the word problem, we have two equations:

  3x +3y = -15

  6x -3y = -21

Adding these equations eliminates y:

  9x = -36

  x = -4 . . . . divide by 9

Using this in the first equation, we have ...

  3(-4) +3y = -15

  -4 +y = -5 . . . . . divide by 3

  y = -1 . . . . . . . . . add 4

The smaller number is -4; the larger is -1.

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