-BRAINLIEST IF ANSWERED RIGHT- Given the equation 5+x−12=x−7: Part A. Solve the equation 5+x−12=x−7. I

Question

-BRAINLIEST IF ANSWERED RIGHT-

Given the equation
5+x−12=x−7:

Part A. Solve the equation
5+x−12=x−7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values
x=−4,0,5 to verify your solution to the equation
5+x−12=x−7.
In your final answer, include all of your calculations.

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Ben Gia 5 months 2021-08-15T00:08:02+00:00 1 Answers 10 views 0

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  1. Eirian
    0
    2021-08-15T00:09:19+00:00
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    Answer:

    Part A:

    x\in \mathbb{R} (x is equal to all real numbers)

    Part B:

    5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark

    Step-by-step explanation:

    Part A:

    Given 5+x-12=x-7, combine like terms:

    x-7=x-7

    Add 7 to both sides:

    x=x

    Since this is merely a true statement for all real numbers (reflexive property), this equation is true for any real value of x.

    Therefore,

    x\in \mathbb{R} (x is equal to all real numbers).

    Part B:

    Using arbitrary values x=-4, x=0, x=5 as requested in part B, verify:

    5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark

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