Answer:
None has the same solution.
Step-by-step explanation:
The given equation is :
[tex]-16p+37=49-21p[/tex]
Grouping the like terms together.
=>[tex]-16p+21p=49-37[/tex]
=>[tex]5p=12[/tex]
=>[tex]p=\frac{12}{5}[/tex]
Now lets check which option has the same solution.
A.
[tex]-55+12p=5p+16[/tex]
=>[tex]12p-5p=55+16[/tex]
=>[tex]7p=71[/tex]
=> [tex]p=\frac{71}{7}[/tex] (wrong answer)
B.
[tex]-5+0.44p=7-1.25p[/tex]
=> [tex]0.44p+1.25p=7+5[/tex]
=> [tex]1.69p=12[/tex]
=> [tex]p=\frac{12}{1.69}[/tex] (wrong answer)
C.
[tex]2+1.25p=-3.75p+10[/tex]
=>[tex]1.25p+3.75p=10-2[/tex]
=>[tex]5p=8[/tex]
=> [tex]p=\frac{8}{5}[/tex] (wrong answer)
D.
[tex]-14+6p=-9-6p[/tex]
[tex]6p+6p=-9+14[/tex]
[tex]12p=5[/tex]
[tex]p=\frac{5}{12}[/tex] (wrong answer)
So, none is the answer. No equation has the same solution like the above given equation.
