Answered

Which equation has no solution?


A). 24x + 32 − 2.1x = 20.9x + 30 + x + 2

B). 24x + 32 − 2.1x = 20.9x + 30 + x − 2

C). 24x + 32 − 2x = 20.9x + 30 + x − 2

D). 24x + 32 = 20.9x + 30

Verified Answer :

It's D because I don't see no solution

Answer:

Option B - \(24x + 32 -2.1x = 20.9x + 30 + x - 2\)

Step-by-step explanation:

To find : Which equation has no solution?

Solution :

We find the solution of the equations one by one,

A) \(24x + 32 -2.1x = 20.9x + 30 + x + 2\)

Adding like terms,

\(21.9x+32=21.9x+32\)

\(21.9x+32-21.9x-32=0\)

\(0=0\)

Which means for any value of x the equation is true.

B) \(24x + 32 -2.1x = 20.9x + 30 + x - 2\)

Adding like terms,

\(21.9x+32=21.9x+28\)

\(21.9x+32-21.9x-28=0\)

\(4 eq0\)

Which is not possible means there is no solution.

C) \(24x + 32 -2x = 20.9x + 30 + x - 2\)

Adding like terms,

\(22x+32=21.9x+28\)

\(22x+32-21.9x-28=0\)

\(0.1x+4=0\)

\(0.1x=-4\)

\(x=\frac{-4}{0.1}\)

\(x=-40\)

This equation has a solution.

D) \(24x + 32= 20.9x + 30\)

Adding like terms,

\(24x + 32-20.9x-30=0\)

\(3.1x+2=0\)

\(3.1x=-2\)

\(x=\frac{-2}{3.1}\)

\(x=-0.64\)

This equation has a solution.

Therefore, Option B is correct.

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