Question

Consider the following equation.

-16p + 37 = 49 -21p

Select the equation that has the same solution as the given equation.

A. -55 + 12p = 5p +16

B. -5 + 0.44p = 7- 1.25p

C. 2 + 1.25p = -3.75p + 10

D. -14 + 6p = -9 - 6p

Answer 1

Answer C for plato users

Explanation:

Answer 2

None has the same solution.

Explanation:

The given equation is :

`-16p+37=49-21p`

Grouping the like terms together.

=>
`-16p+21p=49-37`

=>
`5p=12`

=>
`p=(12)/(5)`

Now lets check which option has the same solution.

A.

`-55+12p=5p+16`

=>
`12p-5p=55+16`

=>
`7p=71`

=>
`p=(71)/(7)` (wrong answer)

B.

`-5+0.44p=7-1.25p`

=>
`0.44p+1.25p=7+5`

=>
`1.69p=12`

=>
`p=(12)/(1.69)` (wrong answer)

C.

`2+1.25p=-3.75p+10`

=>
`1.25p+3.75p=10-2`

=>
`5p=8`

=>
`p=(8)/(5)` (wrong answer)

D.

`-14+6p=-9-6p`

`6p+6p=-9+14`

`12p=5`

`p=(5)/(12)` (wrong answer)

So, none is the answer. No equation has the same solution like the above given equation.