2.) Which equation is true if $$ y=1 $$ ? $$ \begin{array}{ll} ext { A. } 3 y=2 y+8 & ext { C. } 1-2 y=3 y-9 \ ext { B. } 4 y+5 y=3 y+6 & ext { D. } y=3 y-1\end{array} $$

Question

2.) Which equation is true if $$ y=1 $$ ? $$ \begin{array}{ll}	ext { A. } 3 y=2 y+8 & 	ext { C. } 1-2 y=3 y-9 \ 	ext { B. } 4 y+5 y=3 y+6 & 	ext { D. } y=3 y-1\end{array} $$

UpStudy AI · Accepted Answer

Let's evaluate each equation by substituting $$ y = 1 $$:

### **A. $$ 3y = 2y + 8 $$**
- **Left Side:** $$ 3 	imes 1 = 3 $$
- **Right Side:** $$ 2 	imes 1 + 8 = 2 + 8 = 10 $$
- **Comparison:** $$ 3 
eq 10 $$ → **False**

### **B. $$ 4y + 5y = 3y + 6 $$**
- **Left Side:** $$ 4 	imes 1 + 5 	imes 1 = 4 + 5 = 9 $$
- **Right Side:** $$ 3 	imes 1 + 6 = 3 + 6 = 9 $$
- **Comparison:** $$ 9 = 9 $$ → **True**

### **C. $$ 1 - 2y = 3y - 9 $$**
- **Left Side:** $$ 1 - 2 	imes 1 = 1 - 2 = -1 $$
- **Right Side:** $$ 3 	imes 1 - 9 = 3 - 9 = -6 $$
- **Comparison:** $$ -1 
eq -6 $$ → **False**

### **D. $$ y = 3y - 1 $$**
- **Left Side:** $$ 1 $$
- **Right Side:** $$ 3 	imes 1 - 1 = 3 - 1 = 2 $$
- **Comparison:** $$ 1 
eq 2 $$ → **False**

**Conclusion:**  
**Option B** is the only equation that holds true when $$ y = 1 $$.

**Answer:**  
**Option B. $$ 4 y + 5 y = 3 y + 6 $$ is true when $$ y = 1 $$.**
When $$ y = 1 $$, only option B ($$ 4y + 5y = 3y + 6 $$) is true.

2.) Which equation is true if \( y=1 \) ? \( \begin{array}{ll}\text { A. } 3 y=2 y+8 & \text { C. } 1-2 y=3 y-9 \\ \text { B. } 4 y+5 y=3 y+6 & \text { D. } y=3 y-1\end{array} \)

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