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Systems of Equations Solve a system of equations by 1. graphing 2. substitution 3. elimination You are looking for the point of intersection. Graphing Graph the lines and find the intersection point Substitution Solve one equation for a variable and substitute it in the other equation. Elimination Line up the 2 equations, add or subtract to get rid of a variable. 1. Solve each pair of equations by substitution. a. x + 4y = -1 b. y = 10x + 212 y = 3x – 10 x + y = 245 c. y = -5x + 37 20x + 13y = -734 d. 10x – 3y = -490 y = 100 – 3x e. y = 0.3x + 21.5 x + 2y = 123 f. y = -0.25x + 200 3x – 4y = -160 g. 9x + 6y = -42 y = -5x h. y = -3x + 12 5x + 4y = 27 i. 2x + 3y = -10 y = -6x + 18 j. 4x – 5y = -17 y = 3x + 10 2. Find the solution common to each pair of equations by substitution. 7 a. y = -6x – 3 b. y = x + 5 c. 2x + 4y = 20 5 1 3x + 5y = 28 y = 5x + 19 y = x + 11 5 3. Find the solution common to each pair of equations, using the method of elimination. a. 3x + 4y = 5 b. 6x – 7y = 4 c. 6x + 2y = 6 5x – 4y = -13 5x – 2y = 11 9x + 2y = 9 d. 8x + 6y = -2 9x + 3y = -6 e. 3x – 2y = 15 9x + 4y = 75 g. 2x + 4y = 5 3x + 4y = 7 h. 4x – 2y = 6 8x + 2y = 10 f. 6x + 3y = -21 5x + 5y = -25