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12 July, 14:45

Complete the logical argument by giving a reason for each step.

1. 5 (2x - 1) = 9x + 2

10x - 5 = 9x + 2

10x = 9x + 7

X=7

Given

A.?

B.?

c.?

+5
Answers (1)
  1. 12 July, 17:16
    0
    A = Distributive Property of Multiplication

    B = Addition Property of Equality

    C = Subtraction Property of Equality

    Step-by-step explanation:

    Given:

    5 (2x - 1) = 9x + 2

    The first step is to use the distributive property and multiply 5 to both numbers inside the brackets. So, A will be Distributive property of multiplication, which will result in:

    5 (2x) - 5 (1) = 9x + 2

    10x - 5 = 9x + 2

    The next step is to add 5 on both sides of the equation. So, B will be the Addition property of equality, which will result in:

    10x - 5 + 5 = 9x + 2 + 5

    10x = 9x + 7

    The next step is to subtract 9x from both sides of the equation. So, C will be the Subtraction property of Equality, which will result in:

    10x - 9x = 9x + 7 - 9x

    x = 7
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