dayneortega2007 dayneortega2007
  • 02-11-2022
  • Mathematics
contestada

If 2a + 7b+2c=16 and 2a + 3b +2c= 8, then b = ?
(A)-2
(B) O
(C) 2
(D) 4
(E) 6

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 03-11-2022

Answer:

  (C)  2

Step-by-step explanation:

Given equations 2a + 7b+2c=16 and 2a + 3b +2c= 8, you want to know the value of b.

Solution

The coefficients of 'a' and 'c' are the same in the two equations, so we can eliminate those variables by subtracting one equation from the other. We can keep the resulting coefficient of 'b' positive if we subtract the second equation from the first.

  (2a +7b +2c) -(2a +3b +2c) = (16) -(8)

  4b = 8 . . . . . . . simplify

  b = 2 . . . . . . . divide by 4

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