Here is how Noah solved his math problem. Do you agree with his method? Explain why or why not. Noah’s method: add 9 to ea

Question

Here is how Noah solved his math problem. Do you agree with his method?
Explain why or why not.
Noah’s method:
add 9 to each side
2(x – 9) = 10
2(x-9)+9 = 10 + 9
2x = 19
2x – 2 = 19-2
19
2
divide each side by 2
X=

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Tryphena 3 years 2021-08-27T05:40:53+00:00 2 Answers 8 views 0

Answers ( )

    0
    2021-08-27T05:42:15+00:00

    No, because he kept adding to both sides rather than distributing 2 from x and 9 from the start

    0
    2021-08-27T05:42:28+00:00

    Answer:

    I don’t agree with his method because he should’ve used the distribute method for the first step. For step 2, he would’ve needed to add 18 on both sides. Step 3 would be for him to divide both sides by 2, not subtract 2.

    Step-by-step explanation:

    2(x – 9) = 10

    step one: distribute

    ⇒ 2x – 18 = 10

    step two: add 18 on both sides and then simplify

    ⇒ 2x – 18 + 18 = 10 + 18

    ⇒ 2x = 28

    step three: divide both sides by 2

    \frac{2x}{2} = \frac{28}{2}

    ⇒ x = 14

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