224k views
2 votes
If 5 + b = 3 and a - b = 7 , then which of the following is true?

2a + b = 8
2a - 2b - 12
a - 2b = 11
2(a - b) = 6

User SBTec
by
6.4k points

2 Answers

4 votes

2a plus 6 equl eight i hink so

User John Kals
by
7.8k points
2 votes

Answer:

Solve the given system first

  • 5 + b = 3
  • a - b = 7

Find b:

  • b = 3 - 5 = -2

Find a:

  • a - (-2) = 7
  • a = 7 - 1
  • a = 5

Verify the options for correctness:

  • 2a + b = 2(5) + (-2) = 10 - 2 = 8, correct
  • 2a - 2b = 2(5) - 2(-2) = 10 + 4 = 14, incorrect
  • a - 2b = 5 - 2(-2) = 5 + 4 = 9, incorrect
  • 2(a - b) = 2(5 - (-2)) = 2(7) = 14, incorrect

User Tomvon
by
6.3k points