16. The value of x in the equation -11 + 11 (x - 1) = 121 is : *
Answers
What is the value of x in the equation (5x-2=3x-4)?
Answer: -1
Proof:
5x - 2 = 3x - 4
is a linear algebraic equation in one variable x . We have to find x. Th procedure consists of gathering all x-terms on one-side and the constant terms on the other and then solve for x.
Step 1:
Take 3x to left side of the equation and -2 to the right side remembering that in every such transposition there is a change of sign.
∴ 5x - 3x = 2 - 4
Step 2:
Simplify both sides.
∴2x = -2
Step 3:
Divide both sides by 2.
∴2x/2 = -2/2
Step 4:
Simplify both sides .
Therefore, 1.x = -1
⇒ x = -1 (Answer)
Check: Substituting for x = -1,
L.H.S.= 5x - 2 = 5 (-1) - 2 = -5 - 2 = -7
R.H.S.= 3x - 4 = 3(-1) - 4 = -3 - 4 = -7
∴ L.H.S. = R.H.S.
Hence x = -1 is the right solution.
Answer:
-11 + 11 (x - 1) = 121
= -11 + 11x -11 = 121
= -22 + 11x = 121
= 11x = 121 - 22
= 11x = 99
= x = 99/11
= x = 9