Math Problem Statement

Which system of equations has the same solution as this one?

8x+5y=-203x–y=5

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Systems of Equations
Substitution Method

Formulas

Substitution: Solve one equation for one variable, then substitute into the other
Simplification of linear expressions

Theorems

Algebraic Manipulation: Multiplying both sides of an equation by a constant doesn't change its solution
Consistency of Systems: Systems derived from algebraic manipulation of the same equations have the same solutions

Suitable Grade Level

Grades 9-10