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Are the following two expressions equivalent? Explain how you know… 3(4-x) 6(x+2)-7x
Question
Are the following two expressions equivalent?
Explain how you know…
3(4-x)
6(x+2)-7x
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Mathematics
5 years
2021-07-20T19:11:56+00:00
2021-07-20T19:11:56+00:00 2 Answers
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Answers ( )
Answer:
no, because the first=12-x
and the second=-1x+2
Step-by-step explanation:
Answer:
No, they are not equivalent.
Step-by-step explanation:
First, we simplify the two expressions.
3(4 – x) = 12 – 3x We multiply everything inside the bracket by 3.
6(x + 2) – 7x = 6x + 12 – 7x = 12 – x Using BODMAS/BIDMAS, we first multiply everything in the brackets by 6 and then simplify.
If we compare 12 – 3x to 12 – x, we can clearly notice that they aren’t equivalent. If they were to be equivalent, they would have to be exactly the same values as each other. The 12 is common in both expressions, but the -3x and -x differ, therefore the following two expressions aren’t equivalent.
I hope this helps!! ^-^