https://file.aiquickdraw.com/mathbot/file/1729618691100v0ar4q8p.jpg

The image presents two different methods for solving systems of equations:

1. **Elimination Method** (left side):
   - The system of equations is:
     \[
     6y + 2x = -59
     \]
     \[
     2y - 2x = 9
     \]
   - You would typically eliminate one variable by adding or subtracting the equations after multiplying them if necessary.

2. **Substitution Method** (right side):
   - The system of equations is:
     \[
     y = 2x - 1
     \]
     \[
     2x + 3y = 8
     \]
   - In substitution, you substitute the expression for \( y \) from the first equation into the second equation to solve for \( x \), and then substitute \( x \) back into the first equation to find \( y \).

Would you like to see the detailed steps for either of these methods or for both?

Here are some questions to explore further:
1. What is the first step in solving by the elimination method?
2. How can the system of equations be manipulated to eliminate one variable in the elimination method?
3. What is the substitution step used to solve for \(x\) in the substitution method?
4. What happens when you substitute \( y = 2x - 1 \) into the second equation?
5. How do you verify the solution after solving the system?

**Tip**: Always double-check your solution by substituting the values back into both original equations.

Solving Systems of Equations using the Elimination Method and Substitution Method

Explore how to solve systems of equations using the elimination and substitution methods. The elimination method focuses on removing one variable by adding or subtracting equations, while the substitution method involves replacing one variable with its expression from another equation. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation