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Linear Equation Systems - Simple Addition To Equation (Level 3)

This math topic focuses on manipulating linear equation systems through addition or subtraction of multiples of one equation to another to simplify the system into a single solvable equation. It is designed to enhance skills in algebraic manipulation and solving linear systems of equations. Each problem presents a set of two equations with variables and constants, and the task involves combining these equations strategically to isolate one variable. This skill is fundamental in algebra, particularly useful in deriving values from systems of equations in more advanced mathematical contexts.

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

Linear Equation Systems - Simple Addition To Equation

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Add or subtract multiples of the second equation to the first equation to form a single solvable equation

12r+8d=883r+2d=22r=?12r + 8d = 88\\3r + 2d = 22\\r = ?