Which of the following equations does not have $$ x=8 $$ as a solutiont $$ \begin{array}{ll} ext { (1) } \frac{x}{2}=4 & ext { (3) } 3 x=18 \ ext { (2) } x-3=5 & ext { (4) } x+7=15\end{array} $$

Question

Which of the following equations does not have $$ x=8 $$ as a solutiont $$ \begin{array}{ll}	ext { (1) } \frac{x}{2}=4 & 	ext { (3) } 3 x=18 \ 	ext { (2) } x-3=5 & 	ext { (4) } x+7=15\end{array} $$

UpStudy AI · Accepted Answer

Let's determine which of the given equations **does not** have $$ x = 8 $$ as a solution by substituting $$ x = 8 $$ into each equation.

1. **Equation (1):** $$\frac{x}{2} = 4$$
   $$
   \frac{8}{2} = 4 \quad \Rightarrow \quad 4 = 4 \quad \text{✔️}
   $$
   $$ x = 8 $$ **is** a solution.

2. **Equation (2):** $$ x - 3 = 5 $$
   $$
   8 - 3 = 5 \quad \Rightarrow \quad 5 = 5 \quad \text{✔️}
   $$
   $$ x = 8 $$ **is** a solution.

3. **Equation (3):** $$ 3x = 18 $$
   $$
   3 \times 8 = 24 \quad \Rightarrow \quad 24 \neq 18 \quad \text{❌}
   $$
   $$ x = 8 $$ **is not** a solution.

4. **Equation (4):** $$ x + 7 = 15 $$
   $$
   8 + 7 = 15 \quad \Rightarrow \quad 15 = 15 \quad \text{✔️}
   $$
   $$ x = 8 $$ **is** a solution.

**Conclusion:**  
The equation that **does not** have $$ x = 8 $$ as a solution is:

$$
\boxed{\text{(3) }\, 3x = 18}
$$
The equation $$ 3x = 18 $$ does not have $$ x = 8 $$ as a solution.

Which of the following equations does not have \( x=8 \) as a solutiont \( \begin{array}{ll}\text { (1) } \frac{x}{2}=4 & \text { (3) } 3 x=18 \\ \text { (2) } x-3=5 & \text { (4) } x+7=15\end{array} \)

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