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

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    0
    2021-09-14T07:15:04+00:00

    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.

    0
    2021-09-14T07:15:05+00:00

    Answer:

    -11 + 11 (x – 1) = 121

    = -11 + 11x -11 = 121

    = -22 + 11x = 121

    = 11x = 121 – 22

    = 11x = 99

    = x = 99/11

    = x = 9

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