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Session 11 In-Class Exercise Solutions

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Q Solve the system by the substitution method: 2x + y = 3 3x – 2y = -13 2.Solve the system by the addition method. 3x – 6y = 12 -2x + 3y = 6

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1.Step 1 Rewrite both equations in the form Ax + By = C.3x – 6y = 12 -2x + 3y = 6 Step 2. If necessary, multiply either equation or both equations by appropriate numbers so that the sum of the x-coefficients or the sum of the y-coefficients is 0.3x – 6y = 12 -2x + 3y = 6 Multiply both sides by 2 Multiply both sides by 3 6x – 12y = 24 -6x + 9y = 18