SOLVING SYSTEMS USING ELIMINATION 6-3. Solve the linear system using elimination. 5x – 6y = -32 3x + 6y = 48 (2, 7)

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Presentation transcript:

SOLVING SYSTEMS USING ELIMINATION 6-3

Solve the linear system using elimination. 5x – 6y = -32 3x + 6y = 48 (2, 7)

Solve the linear system using elimination. 6x – 3y = 3 -6x + 5y = 3 (2, 3)

Solve the linear system using elimination. 2x + 3y = 11 -2x + 9y = 1 (4,1)

Solve the linear system using elimination. 2x + 5y = x + 3y = 22 (4,-6)

Solve the linear system using elimination. -2x + 15y = -32 7x – 5y = 17 (1, -2)

Solve the linear system using elimination. 3x + 6y = -6 -5x – 2y = -14 (4, -3)

Solve the linear system using elimination. 4x + 2y = 14 7x – 3y = -8 (1, 5)

Solve the linear system using elimination. 15x + 3y = 9 10x + 7y = -4 (1, -2)

Solve the linear system using elimination. 3x + 5y = 10 5x + 7y = 10 (-5, 5)

Solve the linear system using elimination. 3x + 2y = 8 2y = 12 – 5x (2, 1)

Solve the linear system using elimination. 2x + 5y = -11 3x – 11 = 5y (0, -11/5)

Solve the linear system using elimination. 1.3x – 4y = 7 2x + 4y = 8 2.5m + 3n = 22 5m + 6n = x + 5y = 4 3x + 4y = p + 5q = 2 8p – 9q = 17

HOW TO SOLVE A LINEAR SYSTEM BY ELIMINATION 1.Make sure the equations are written in standard form (Ax + By = C). 2.Multiply, if necessary, one or both equations by numbers to get coefficients that are opposites for one of the variables. 3.Add the equations vertically from Step 2. Combining like terms with opposite coefficients will eliminate one variable. Solve for the remaining variable. 4.Substitute the value obtained from Step 3 into either of the original equations and solve for the other variable. 5.Write solution as an ordered pair.