Question

Which equation has no solution?

Answer 1

Answer:

D.

Step-by-step 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. ?