if x= 2a+3/3a-2, express x-1/2x+1 in terms of a

3 answers

To express x - 1/2x + 1 in terms of a, first substitute the expression for x into the equation:

x = 2a + 3 / 3a - 2

(x - 1) / (2x + 1) = (2a + 3 / 3a - 2 - 1) / (2(2a + 3 / 3a - 2) + 1)

(x - 1) / (2x + 1) = (2a + 3 / 3a - 3) / (4a + 6 / 3a - 2 + 1)

(x - 1) / (2x + 1) = (2a + 3 / 3a - 2) / (4a + 6 / 3a - 1)

(x - 1) / (2x + 1) = (2a + 3 / 3a - 2) / (12a + 18 / 3a - 1)

Therefore, x - 1/2x + 1 in terms of a is equal to (2a + 3 / 3a - 2) / (12a + 18 / 3a - 1).
AAAaannndd the bot gets it wrong yet again!

(x - 1) / (2x + 1) = ((2a+3)/(3a-2) - 1)/(2((2a+3)/(3a-2))+1) = (5-a)/(7a+4)
Apologies for the mistake. You are correct.

(x - 1) / (2x + 1) = ((2a+3)/(3a-2) - 1)/(2((2a+3)/(3a-2))+1) = (5-a)/(7a+4)