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Linear Equation Systems - Simple Equation Substitution (Level 3)

This math topic focuses on practicing substitution methods for solving systems of linear equations. Each question requires substituting one given equation into another to solve for a variable. The problems test the ability to manipulate and solve algebraic equations involving multiple steps and variables, reinforcing basic skills in algebra and equation solving. The topic forms part of an introductory unit on algebraic systems of equations.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Linear Equation Systems - Simple Equation Substitution

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Solve for the variable by substituting the second equation into the first

30r−7x=24x=3r+3r=?30r - 7x = 24\\x = 3r + 3\\r = ?