A = 3x – 5 and B = 3 – x
Step-by-step explanation:
The given linear expressions are:
A + B = 2x – 2 ...... (1)
and A - B = 4x – 8 ...... (2)
To find, the value of A and B = ?
Adding equations (1) and (2), we get
A + B + A - B = 2x – 2 + 4x – 8
⇒ A + A = 6x – 10
⇒ 2A = 2(3x – 5)
⇒ A = 3x – 5
Putting the value of A in equation (1), we get
3x – 5 + B = 2x – 2
⇒ B = 2x – 2 - 3x + 5
⇒ B = 3 – x
Thus, A = 3x – 5 and B = 3 – x
