Question

9.

Which equations are equivalent?
III.
1.
12x +30-10x +4= 40
40=2(15-x)+4
2(6x +15-5x) +4=40
II.
A.
I & II
c.
I & III
II & III
D.
None of the equations are equivalent​

Answer 1

C. I & III

Explanation:

I simplifies to ...

2(6x +15 -5x) +4 = 40

12x +30 -10x +4 = 40

2x +34 = 40

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II simplifies to ...

40 = 2(15 -x) +4

40 = 30 -2x +4

40 = -2x +34 . . . . . . not equivalent to I (sign of x-term is different)

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III simplifies to ...

12x +30 -10x +4 = 40

2x +34 = 40 . . . . . . equivalent to I

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I & III are equivalent