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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