Question

Need Help...

|7z-7|+3=4x+1
A.5/3 and -5/3
B.5/3 and 9/11
C.9/11 and -9/11
D.-5/3 and -9/11

Answer 1

|7x-7|+3 = 4x+1 ⇒⇒⇒ add (-3) to both sides

∴ |7x-7| = 4x - 2

According to the absolute rule
∴ 7x - 7 = 4x - 2 OR -(7x - 7) = 4x - 2
7x - 4x = 7 - 2 l 7x - 7 = -4x + 2
3x = 5 l 7x + 4x = 2 + 7
x = 5/3 l 11 x = 9 ⇒⇒⇒ x = 9/11

∴ x = 5/3 and 9/11


So, the correct answer is option B. 5/3 and 9/11