Which equation has exactly one solution? A. 10x – 3x + 20 + 45 = 100 + 7x – 3 B. 4x – 3x = 10(3 – x) + 11x C. 10x –

Question

Which equation has exactly one solution?

A. 10x – 3x + 20 + 45 = 100 + 7x – 3
B. 4x – 3x = 10(3 – x) + 11x
C. 10x – 20 + 45 = 19 + 7x + 3(2 + x)
D. 9(x – 3) + 28 = 4x – 3

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Nguyệt Ánh 4 months 2021-09-03T06:24:06+00:00 2 Answers 1 views 0

Answers ( )

    0
    2021-09-03T06:25:41+00:00

    Answer:

      The answer is D

    Step-by-step explanation:

    9(x + -3) + 28 = 4x + -3

    Reorder the terms:

    9(-3 + x) + 28 = 4x + -3

    (-3 * 9 + x * 9) + 28 = 4x + -3

    (-27 + 9x) + 28 = 4x + -3

    Reorder the terms:

    -27 + 28 + 9x = 4x + -3

    Combine like terms: -27 + 28 = 1

    1 + 9x = 4x + -3

    Reorder the terms:

    1 + 9x = -3 + 4x

    Solving

    1 + 9x = -3 + 4x

    Solving for variable ‘x’.

    Move all terms containing x to the left, all other terms to the right.

    Add ‘-4x’ to each side of the equation.

    1 + 9x + -4x = -3 + 4x + -4x

    Combine like terms: 9x + -4x = 5x

    1 + 5x = -3 + 4x + -4x

    Combine like terms: 4x + -4x = 0

    1 + 5x = -3 + 0

    1 + 5x = -3

    Add ‘-1’ to each side of the equation.

    1 + -1 + 5x = -3 + -1

    Combine like terms: 1 + -1 = 0

    0 + 5x = -3 + -1

    5x = -3 + -1

    Combine like terms: -3 + -1 = -4

    5x = -4

    Divide each side by ‘5’.

    x = -0.8

    Simplifying

    x = -0.8

    0
    2021-09-03T06:25:55+00:00

    Answer:

    the correct answer is D. 9(x-30) + 28 = 4x – 3

    Step-by-step explanation:

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