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Consider the equation 6x +7=3x � 5. Which of the following possible first steps would prevent having to deal with fractions when solving the
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Consider the equation 6x +7=3x � 5. Which of the following possible first steps would prevent having to deal with fractions when solving the equation?
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Mathematics
3 years
2021-07-31T20:36:17+00:00
2021-07-31T20:36:17+00:00 1 Answers
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Answer:
D. I or II only
Step-by-step explanation:
By a small online search, I’ve found that the equation is:
6x + 7 = 3x – 5
And the options are:
I. Combining the 6x and 3x terms
II. Combining the 7 and 5
III. Dividing both sides of the equation by 6
A. I only
B. II only
C. III only
D. I or II only
E. I or II or III
So, let’s solve the equation in such a way that we can prevent the use of fractions:
6x + 7 = 3x – 5
We can use I and II, combining one in each side, so we get (so we use I and II at the same time)
6x – 3x = -5 – 7
solving these, we get:
(6 – 3)*x = -12
3*x = -12
and -12 is divisible by 3, so if we divide in both sides by 3, we get:
x = -12/3 = -4
x = -4
So we avoided working with fractions, and we used I and II.
Then the first step could be either I or II (the order does not matter)
Then the correct option is:
D. I or II only