Math Problem Statement

sum of 1-1/7x=-8

Solution

Let's solve the equation step-by-step:

The equation given is:

117x=81 - \frac{1}{7}x = -8

Step 1: Isolate the term involving xx

To isolate 17x\frac{1}{7}x, subtract 1 from both sides of the equation:

17x=81-\frac{1}{7}x = -8 - 1

17x=9-\frac{1}{7}x = -9

Step 2: Eliminate the negative fraction

To eliminate the negative fraction, multiply both sides of the equation by 7-7:

x=9×(7)x = -9 \times (-7)

x=63x = 63

Final Answer:

x=63x = 63

Would you like more details, or do you have any questions? Here are some related questions you might find interesting:

  1. What are some other methods to solve equations involving fractions?
  2. How do you handle equations with negative numbers?
  3. Can this type of equation be solved graphically?
  4. How does isolating the variable help in solving equations?
  5. What does it mean when an equation is balanced?

Tip: Always ensure that you perform the same operation on both sides of the equation to maintain the balance and find the correct solution.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving for Variables

Formulas

Isolating Variables
Multiplying Both Sides of an Equation

Theorems

Equation Balancing
Linear Equation Solution

Suitable Grade Level

Grades 7-9