Question

33/x=-3 a value of x that makes the equation true is _ which one submitted into the equation and simplified makes the equation turn into _=_ a value of x that makes the equation false is _ which one submitted into the equation and simplified makes the equation turn into _=_

Answer 1

To solve the equation \( \frac{33}{x} = -3 \), we can start by multiplying both sides by \( x \) (assuming \( x \neq 0 \)):

\[
33 = -3x
\]

Now, divide both sides by -3:

\[
x = \frac{33}{-3} = -11
\]

So, a value of \( x \) that makes the equation true is \( -11 \). Substituting \( -11 \) back into the original equation gives us:

\[
\frac{33}{-11} = -3
\]

This simplifies to:

\[
-3 = -3
\]

So we compute \( x = -11 \) and verify that it turns into \( -3 = -3 \).

Now, to find a value of \( x \) that makes the equation false, we could choose any value other than \( -11 \) or any value that does not satisfy the equation. For example, let's choose \( x = 1 \):

Substituting \( x = 1 \) into the equation gives us:

\[
\frac{33}{1} = -3
\]

This simplifies to:

\[
33 = -3
\]

This is clearly false.

Thus, a value of \( x \) that makes the equation false is \( 1\), and when substituted into the equation it turns into \( 33 = -3 \).

In summary:
- A value of \( x \) that makes the equation true is **-11**. It simplifies to **-3 = -3**.
- A value of \( x \) that makes the equation false is **1**. It simplifies to **33 = -3**.