Question

if y - 8 = 5x, what is the value of y = - 87?

A. 19
B. 16
C. -16
D. 19

Answer 1

To determine the value of \( y \) when \( y - 8 = 5x \), we first need to express \( y \) in terms of \( x \).

Starting from the equation:

\[
y - 8 = 5x
\]

We can isolate \( y \) by adding 8 to both sides:

\[
y = 5x + 8
\]

Now, we are given \( y = -87 \) and need to find the corresponding value of \( x \).

Substituting \( y = -87 \) into the equation:

\[
-87 = 5x + 8
\]

To solve for \( x \), we first subtract 8 from both sides:

\[
-87 - 8 = 5x
\]

\[
-95 = 5x
\]

Now, divide both sides by 5:

\[
x = \frac{-95}{5} = -19
\]

Now that we have the value of \( x \), we can substitute it back into the equation \( y = 5x + 8 \) to confirm \( y \):

\[
y = 5(-19) + 8
\]
\[
= -95 + 8
\]
\[
= -87
\]

This confirms that our substitution works correctly.

However, I noticed that the initial question provided answer choices that were unrelated to determining \( y \) given \( y = -87 \). Since \( y \) is already specified as -87, let's re-evaluate the choices given (19, 16, -16, and the repeat of 19) in the context of \( y = -87 \) — they are not applicable because:

The answer is simply that \( y \) is already given as \( -87 \).

Let me know if you need any additional clarification!