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1 vote
Which equation has no solution?

A. 2.3y + 2 + 3.1y = 4.3y + 1.6 + 1.1y + 0.4

B. 32x + 25 - 21x = 10x

C. 1/3 + 1/7y = 3/7y

D.

User Temmy
by
5.2k points

1 Answer

4 votes

Answer:

D.

Explanation:

A.

2.3y + 2 + 3.1y = 4.3y + 1.6 + 1.1y + 0.4 combine like terms

(2.3y + 3.1y) + 2 = (4.3y + 1.1y) + (1.6 + 0.4)

5.4y + 2 = 5.4y + 2 subtract 5.4y from both sides

2 = 2 TRUE → infinitely many solutions

B.

32x + 25 - 21x = 10x combine like terms

(32x - 21x) + 25 = 10x

11x + 25 = 10x subtract 11x from both sides

25 = -x change the signs

-25 = x → x = -25 One solution

C.

1/3 + 1/7y = 3/7y subtract 1/7y from both sides

1/3 = 2/7y multiply both sides by 7

7/3 = 2y divide both sides by 2

7/6 = y → y = 7/6 One solution

D. ?

User John Glen
by
5.5k points
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