$$ \begin{array}{ll} ext { 1) } 9 c+1=10 & ext { 2) } 6 y-5=7 \ ext { 3) } 8=3 a-4 & ext { 4) } \frac{m}{5}+9=11 \ 13+7 x=27 & ext { 6) } 17-q=6\end{array} $$

Question

$$ \begin{array}{ll}	ext { 1) } 9 c+1=10 & 	ext { 2) } 6 y-5=7 \ 	ext { 3) } 8=3 a-4 & 	ext { 4) } \frac{m}{5}+9=11 \ 13+7 x=27 & 	ext { 6) } 17-q=6\end{array} $$

UpStudy AI · Accepted Answer

Sure, let's solve each of the equations step by step to find the values of the variables $$ c $$, $$ y $$, $$ a $$, $$ m $$, $$ x $$, and $$ q $$.

---

### 1) $$ 9c + 1 = 10 $$

**Steps to Solve:**
1. Subtract 1 from both sides:
   $$
   9c = 10 - 1
   $$
   $$
   9c = 9
   $$
2. Divide both sides by 9:
   $$
   c = \frac{9}{9}
   $$
   $$
   c = 1
   $$

**Solution:** $$ c = 1 $$

---

### 2) $$ 6y - 5 = 7 $$

**Steps to Solve:**
1. Add 5 to both sides:
   $$
   6y = 7 + 5
   $$
   $$
   6y = 12
   $$
2. Divide both sides by 6:
   $$
   y = \frac{12}{6}
   $$
   $$
   y = 2
   $$

**Solution:** $$ y = 2 $$

---

### 3) $$ 8 = 3a - 4 $$

**Steps to Solve:**
1. Add 4 to both sides:
   $$
   8 + 4 = 3a
   $$
   $$
   12 = 3a
   $$
2. Divide both sides by 3:
   $$
   a = \frac{12}{3}
   $$
   $$
   a = 4
   $$

**Solution:** $$ a = 4 $$

---

### 4) $$ \frac{m}{5} + 9 = 11 $$

**Steps to Solve:**
1. Subtract 9 from both sides:
   $$
   \frac{m}{5} = 11 - 9
   $$
   $$
   \frac{m}{5} = 2
   $$
2. Multiply both sides by 5:
   $$
   m = 2 \times 5
   $$
   $$
   m = 10
   $$

**Solution:** $$ m = 10 $$

---

### 5) $$ 13 + 7x = 27 $$

**Steps to Solve:**
1. Subtract 13 from both sides:
   $$
   7x = 27 - 13
   $$
   $$
   7x = 14
   $$
2. Divide both sides by 7:
   $$
   x = \frac{14}{7}
   $$
   $$
   x = 2
   $$

**Solution:** $$ x = 2 $$

---

### 6) $$ 17 - q = 6 $$

**Steps to Solve:**
1. Subtract 17 from both sides:
   $$
   -q = 6 - 17
   $$
   $$
   -q = -11
   $$
2. Multiply both sides by -1:
   $$
   q = 11
   $$

**Solution:** $$ q = 11 $$

---

### **Summary of Solutions:**
1. $$ c = 1 $$
2. $$ y = 2 $$
3. $$ a = 4 $$
4. $$ m = 10 $$
5. $$ x = 2 $$
6. $$ q = 11 $$

If you have any further questions or need additional explanations, feel free to ask!
Here are the solutions to the equations: 1. $$ c = 1 $$ 2. $$ y = 2 $$ 3. $$ a = 4 $$ 4. $$ m = 10 $$ 5. $$ x = 2 $$ 6. $$ q = 11 $$

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