Consider the following equation -167 + 37 = 49 - 21p select the equation that has the same solution as the given equation. o a. p - 5 + ip = 7 - p ob. +55 + 12p = 5p + 16 c. 2 + 1.25p = -3.75p + 10 d. -14 + 6p = -9 - 6p reset next

12w-27 = -34+14w

We need to keep variables on one side and constant on other side . Here variables are 12w and 14w and constants are -27 and -34 .

So we need to move -34 to left side and 12 w to right side . And for that, we need to add 34 to both sides and subtract 12 w to both sides.

12w-27+34-12w=-34+14w+34-12w

7= 2w

Now we need to get rid of 2. So we divide both sides by 2 , and on doing that, we will get

D.  3/2p - 5 + 9/4p = 7 - 5/4p

Step-by-step 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

Going to piggyback off of the "answer" given above me. Your best bet is B. -47-10w=-9w-40-3w

Step-by-step explanation:

Simplify both sides of the equation like you did with the original problem.

Then, you should get w= 3.5 (which is the same solution as the previous equation.)

Hope this helps!

None has the same solution.

Step-by-step explanation:

The given equation is :

Grouping the like terms together.

=>

=>

=>

Now lets check which option has the same solution.

A.

=>

=>

=>    (wrong answer)

B.

=>

=>

=>         (wrong answer)

C.

=>

=>

=>       (wrong answer)

D.

     (wrong answer)

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

Option C

Step-by-step explanation:

we have that

The given equation is

Solve for p

Group terms that contain the same variable

Combine like terms

we know that

If a equation has the same solution as the given equation, then the solution of the given equation must satisfy the equation

Verify each case

case A) we have

substitute the value of p=2.4 in the equation and then compare the results

----> is not true

therefore

The equation does not have the same solution as the given equation

case B) we have

substitute the value of p=2.4 in the equation and then compare the results

----> is not true

therefore

The equation does not have the same solution as the given equation

case C) we have

substitute the value of p=2.4 in the equation and then compare the results

----> is true

therefore

The equation has the same solution as the given equation

case D) we have

substitute the value of p=2.4 in the equation and then compare the results

----> is not true

therefore

The equation does not have the same solution as the given equation

Option C is the correct answer.

Step-by-step explanation:

The equation is given as :

Solving this by pairing the like terms together,

This gives

Now, we will solve all the equations to check which is same as the above.

A.

=>

=>

=>

This is the wrong option.

B.

=>

=>

=>

=>

=>

This is the wrong option.

C.

=>

=>

=>

This is the right option.

D.

=>

=>

=>

=>

Dividing by 7, we get

=>

This is the wrong option.

Therefore, option C is the correct answer.

The Answer is -47-10w=-9w-40-3w

Step-by-step explanation:

The answer is C

12w - 27 = -34 +14w

-2w = -7

w = 7/2

-47 - 10w = -9w -40 - 3w

-47 - 10w = -12w - 40

-7 = -2w

w = 7/2

Anything with a value of w=3.5 would be equivalent.

To solve this, we cannot have a variable on both sides, so we will subtract 12w from both sides:
12w - 27 - 12w = -34 + 14w - 12w
-27 = -34 + 2w

Now add 34 to both sides:
-27+34 = -34 + 2w + 34
 7 = 2w

Divide both sides by 2:
7/2 = 2w/2
3.5 = w

It's A for sure no doubt