Math Problem Statement

-3x + 9y = -2 and x - 3y = 2

Solution

Let's solve this system of linear equations:

The equations are:

  1. 3x+9y=2-3x + 9y = -2
  2. x3y=2x - 3y = 2

Step 1: Simplify the equations if necessary

The second equation is already simple. The first equation can be divided by 3-3 to make it simpler:

x3y=23x - 3y = \frac{2}{3}

This simplifies the system to:

  1. (x - 3y

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Systems of Equations

Formulas

Substitution method: Substitute one variable in terms of another
Elimination method: Combine equations to eliminate one variable

Theorems

Basic principles of solving linear equations

Suitable Grade Level

Grades 8-10