Math Problem Statement

The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?

x + 3y = 42 2x − y = 14

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Elimination Method

Formulas

Equation addition method in elimination: ax + by = c
Equation multiplication for variable elimination

Theorems

Elimination Method in Systems of Linear Equations

Suitable Grade Level

Grades 8-10