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Sterling Middle School Algebra 1 Homework #26 –Solving a Linear System using the Elimination method NAME: ___________________________________DATE: __________________________ Tell whether the ordered pair is a solution of the Linear System or not. 1) (1, -2) ; 2x – 3y = 8 3x + 2y = -1 2) (-4, -6); -3x + y = 6 -2x + y = -8 3) (4, -1); x – 4y = 8 -3x + 5y = -3 Without solving the linear system, tell whether the linear system has ONE solution, NO solution or INFINITELY MANY solutions. 1) y = 6x + 4 y = -6x – 10 2) y = 3x – 5 y = 6 x –5 2 3) 3y + 6x = 8 2x + y = -10 Solve the linear system by using Elimination. 1) 5x – 3y = -14 x + 3y = 2 2) 3x = y + 5 2x + y = 5 4) 4x + 3y = 9 3 x+y=3 4 Sterling Middle School Algebra 1 Homework #26 –Solving a Linear System using the Elimination method 3) x – 4y = -19 3y – 15 = x 4) x + y = 3 -2x + 4y = 6 5) -3x + 11y = -38 2x + 9y = -40 6) 4x + 5y = 100 3x – 2y = 6 7) 4x – 4y = -18 7x – 7y = -4 8) 2x + 4y = 1 6x + 12y = 3