Question

Select the correct answer.

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.
5/8x + 2..5 = 3/8x + 1.5 + 1/4x

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

Answer 1

d

Explanation:

Answer 2

Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x

Explanation:

Let us go through each of the equations one by one.

Equation A:
`2.3y+2+3.1y=4.3y+1.6+1.1y+0.4`

This simplifies to

`5.4y+2=5.4y+2`

which has infinitely many solutions.

Equation B:
`32x+25-21x=10x`

this simplifies to

`x+25=0`

`x=-25`

which is exactly one solution.

Equation C:
`(5)/(8) x+2.5=(3)/(8)x+1.5+(1)/(4) x`

this simplifies to

`(5)/(8) x+2.5=(5)/(8) +1.5`

`2.5=1.5`

There's no way this is going to be possible; this equation has no solutions.

Equation D:
`(1)/(3) x+(1)/(7) x=(3)/(7) x`

this gives

`(1)/(3) =(2)/(7) y`

`y=(7)/(6)`

which is exactly one solution.

Thus we see that it is equation C that has no solutions.