## Math Problem Statement

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

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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

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