## 16. The value of x in the equation -11 + 11 (x – 1) = 121 is : *​

Question

16. The value of x in the equation -11 + 11 (x – 1) = 121 is : *​

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1 week 2021-09-14T07:13:10+00:00 2 Answers 0 views 0

1. What is the value of x in the equation (5x-2=3x-4)?

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

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.

-11 + 11 (x – 1) = 121

= -11 + 11x -11 = 121

= -22 + 11x = 121

= 11x = 121 – 22

= 11x = 99

= x = 99/11

= x = 9