https://r2.erweima.ai/mathbot/image/1725591970460bebcflle.jpg

Let me go through the equations in the image and solve them one by one:

### 1. \( n - 512 = 348 \)
\[
n = 348 + 512 = 860
\]
So, \( n = 860 \).

---

### 2. \( x + 710 = 906 \)
\[
x = 906 - 710 = 196
\]
Thus, \( x = 196 \).

---

### 3. \( \frac{c}{7} = 31 \)
\[
c = 31 \times 7 = 217
\]
Hence, \( c = 217 \).

---

### 4. \( 5n + 35 = 90 \)
\[
5n = 90 - 35 = 55
\]
\[
n = \frac{55}{5} = 11
\]
Thus, \( n = 11 \).

---

### 5. \( \frac{x}{10} - 7 = 6 \)
\[
\frac{x}{10} = 6 + 7 = 13
\]
\[
x = 13 \times 10 = 130
\]
Therefore, \( x = 130 \).

---

### 6. \( \frac{x + 1}{2} = 7 \)
\[
x + 1 = 7 \times 2 = 14
\]
\[
x = 14 - 1 = 13
\]
Thus, \( x = 13 \).

---

### 7. \( \frac{n - 1}{7} = 4 \)
\[
n - 1 = 4 \times 7 = 28
\]
\[
n = 28 + 1 = 29
\]
Thus, \( n = 29 \).

---

### 8. \( \frac{a}{6} + 22 = 43 \)
\[
\frac{a}{6} = 43 - 22 = 21
\]
\[
a = 21 \times 6 = 126
\]
Therefore, \( a = 126 \).

---

### 9. \( 3n - 30 = 27 \)
\[
3n = 27 + 30 = 57
\]
\[
n = \frac{57}{3} = 19
\]
Thus, \( n = 19 \).

---

### 10. \( \frac{y}{5} + 10 = 31 \)
\[
\frac{y}{5} = 31 - 10 = 21
\]
\[
y = 21 \times 5 = 105
\]
Thus, \( y = 105 \).

---

Let me know if you'd like further details on any of the steps!

### Here are 5 questions related to this content:
1. How do you handle equations with variables on both sides?
2. What is the general process for solving linear equations?
3. How do you deal with fractional coefficients in an equation?
4. What strategies can simplify solving two-step equations?
5. How do you check if a solution to an equation is correct?

### Tip:
Always remember to perform the same operation on both sides of an equation to maintain balance when solving.

Solve the following equations:
1. n - 512 = 348
2. x + 710 = 906
3. c / 7 = 31
4. 5n + 35 = 90
5. x / 10 - 7 = 6
6. (x + 1) / 2 = 7
7. (n - 1) / 7 = 4
8. a / 6 + 22 = 43
9. 3n - 30 = 27
10. y / 5 + 10 = 31

This page covers how to solve various linear equations involving fractions, variables, and constants. Detailed step-by-step solutions for equations like 'n - 512 = 348' and '(x + 1) / 2 = 7' are provided. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation