contestada

PLZ HELP IM RUNNING OUT OF TIME!!! THIS IS A SIMPLE EXPLANATION PROBLEM PLEASE HELP!!!

The equation 7(x − 4) = 8(x + 8) has one solution. Which of the following best explains why?
A.
The x-terms are the same, but the constant terms are different.


B.
The x-terms are different, and the constant terms are different.


C.
The x-terms are the same, and the constant terms are the same.


D.
The x-terms are different, but the constant terms are the same.

Respuesta :

zrh2sfo

Answer:

C.  The x-terms are the same, and the constant terms are the same.

Step-by-step explanation:

Solve for x:

7 (x - 4) = 8 (x + 8)

Hint: | Write the linear polynomial on the left-hand side in standard form.

Expand out terms of the left hand side:

7 x - 28 = 8 (x + 8)

Hint: | Write the linear polynomial on the left-hand side in standard form.

Expand out terms of the right hand side:

7 x - 28 = 8 x + 64

Hint: | Move terms with x to the left-hand side.

Subtract 8 x from both sides:

(7 x - 8 x) - 28 = (8 x - 8 x) + 64

Hint: | Combine like terms in 7 x - 8 x.

7 x - 8 x = -x:

-x - 28 = (8 x - 8 x) + 64

Hint: | Look for the difference of two identical terms.

8 x - 8 x = 0:

-x - 28 = 64

Hint: | Isolate terms with x to the left-hand side.

Add 28 to both sides:

(28 - 28) - x = 28 + 64

Hint: | Look for the difference of two identical terms.

28 - 28 = 0:

-x = 64 + 28

Hint: | Evaluate 64 + 28.

64 + 28 = 92:

-x = 92

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of -x = 92 by -1:

(-x)/(-1) = -92

Hint: | Any nonzero number divided by itself is one.

(-1)/(-1) = 1:

Answer: x = -92

Otras preguntas