\begin{tabular}{l} Year \ 2. Which equation is true when $$ x=-6 $$ ? \ $$ 4 x-8=16 $$ \ $$ -2 x+9=21 $$ \ \hline\end{tabular}

Question

UpStudy AI · Accepted Answer

**Step 1: Substitute $$ x = -6 $$ into the first equation**

The first equation is  
$$
4x - 8 = 16.
$$

Substitute $$ x = -6 $$:
$$
4(-6) - 8 = -24 - 8 = -32.
$$

Since $$-32 \neq 16$$, the first equation is not true when $$ x = -6 $$.

---

**Step 2: Substitute $$ x = -6 $$ into the second equation**

The second equation is  
$$
-2x + 9 = 21.
$$

Substitute $$ x = -6 $$:
$$
-2(-6) + 9 = 12 + 9 = 21.
$$

Since $$21 = 21$$, the second equation is true when $$ x = -6 $$.

---

**Conclusion**

The equation that is true when $$ x = -6 $$ is  
$$
-2x + 9 = 21.
$$
When $$ x = -6 $$, the equation $$-2x + 9 = 21$$ is true.

\begin{tabular}{l} Year \\ 2. Which equation is true when \( x=-6 \) ? \\ \( 4 x-8=16 \) \\ \( -2 x+9=21 \) \\ \hline\end{tabular}