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Tasya [4]
2 years ago
14

My product is 30. The differencd of the two factors is 1. The zum of the two factors is 11. What numbers am i

Mathematics
1 answer:
timurjin [86]2 years ago
5 0
A * b = 30
a - b = 1
a + b = 11

take ur last 2 equations, and add them
a - b = 1
a + b = 11
--------------add
2a = 12
a = 12/2
a = 6

now its just a matter of subbing
a + b = 11
6 + b = 11
b = 11 - 6
b = 5

so a = 6 and b = 5...whose product is 30, whose difference is 1, and whose sum is 11.
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Answer:

  1. y= -12
  2. x = 7
  3. q = -1
  4. x = 24

Step-by-step explanation:

1. ..............................................

  • 6(y + 7) = 2(y - 3)
  • 6y + 42 = 2y - 6
  • 6y - 2y = -6 - 42
  • 4y = -48
  • y = -12

2...............................................

  • 3x + 2(x - 5) = 25
  • 3x + 2x - 10 = 25
  • 5x = 25 + 10
  • 5x = 35
  • x = 7

3 . ..............................................

  • 10q + 3q + 5 = 2(q - 3)
  • 13q + 5 = 2q - 6
  • 13q - 2q = -6 - 5
  • 11q = -11
  • q = -1

4. ..............................................

  • 1/3(x + 6) = 2/3(x - 9)
  • 3*1/3(x+6) = 3*2/3(x - 9)
  • x + 6 = 2(x - 9)
  • x + 6 = 2x - 18
  • 2x - x = 6 + 18
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