Math Problem Statement

Solve the system of equations using the elimination method.

Solution

Thanks for uploading the image. It looks like you're working on solving systems of equations using the elimination method. I can help you go over these problems step by step. Here's the breakdown:

Problem 1:

6x+6y=06x + 6y = 0 x+6y=5-x + 6y = -5

Steps for Elimination:

  • To eliminate one variable, multiply the second equation by 1 to align with the first.
  • Combine the two equations to eliminate xx.

Problem 2:

4x3y=114x - 3y = -11 4x+3y=14-4x + 3y = -14

Steps for Elimination:

  • Add these equations directly since the coefficients of xx and yy are opposites.
  • This will result in eliminating one variable, allowing you to solve for the other.

Would you like a more detailed breakdown for each specific equation or need help with the others as well?


Here are a few questions that can guide you in understanding elimination better:

  1. How do you decide when to multiply an equation to eliminate variables?
  2. What happens if the coefficients of the variables in the equations are already opposites?
  3. Why is it important to combine the equations carefully during elimination?
  4. Can elimination also be applied to non-linear equations?
  5. What does the elimination method reveal about the solution of a system?

Tip: Make sure to double-check signs when adding or subtracting equations to avoid small mistakes!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Systems of Equations
Elimination Method
Linear Equations

Formulas

ax + by = c
dx + ey = f

Theorems

Elimination Method in Linear Systems

Suitable Grade Level

Grades 8-10