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System of Equations with M&Ms This is an activity to aid in the understanding of solving system of equations. 1. Before any candy is eaten, complete the following tally for each color of M&Ms. # of M&Ms Red Blue Green Orange Yellow Brown Total ____ ____ ____ ____ ____ ____ ____ (R) (B) (G) (X) (Y) (Z) 2. Use the information from the above tally to complete each equation below. Use the amounts of counted candy to make the equations in the system true. (For example, if there are 7 orange M&M and 11 yellow M&M, then X + Y = 18). Solve each system using linear combination (elimination) or substitution. When you are finished, your answers should match the information in #1. A. X Y ___ X Y ___ D. 2 X 5Y ___ 4 X 3Y ___ B. 2 Z R ___ Z R ___ C. 3B R ___ B 2 R ___ E. 2Z 3G ___ Z G ___ F . 2G 4 B ___ 3G 3B ___ Challenge Problems: G. X Y Z ___ 2 X Y Z ___ X 2 Z ___ H . 2G R B ___ G 2 R B ___ 3G 4 R ___