Question

Consider the following equation.

-16p + 37 = 49 - 21p

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

A: -14 + 6p = -9 - 6p

B: -55 + 12p = 5p + 16

C: 2 + 1.25p = 3.75p + 10

D: 3/2p - 5 + 9/4p = 7 - 5/4p


If you could please also explain how to do this.

Answer 1

ABOVE ANSWER IS CORRECT BUT FOR PLATO IS LETTER C

Explanation:

Answer 2

D. 3/2p - 5 + 9/4p = 7 - 5/4p

Explanation:

We are given the equation;

-16p + 37 = 49 - 21p

We are supposed to identify the equation that has similar solution with the equation given;

• The solution for the equation given is;

-16p + 37 = 49 - 21p

Combining the like terms;

-16p + 21p = 49 - 37

5p = 12

p = 2.4

Solution for the choices given;

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

6p + 6p = -9 +14

12p = 5

p= 0.417

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

12p - 5p = 16 + 55

7p = 71

p = 10.14

C. 2 + 1.25p = 3.75p + 10

1.25p - 3.75p = 10 - 2

-2.5p = 8

p = -3.2

D. 3/2p - 5 + 9/4p = 7 - 5/4p

3/2p +5/4p +9/4p = 7 + 5

5p =12

p = 2.4

Therefore, the equation that has similar equation with the one given is D. 3/2p - 5 + 9/4p = 7 - 5/4p