Presentation on theme: "Ch 5.4 Elimination (multiplication)"— Presentation transcript:
1 Ch 5.4 Elimination (multiplication) Objective:To solve a system of linear equations using multi-step elimination (multiplication and addition).
2 Rules Check Your Answers! Rearrange the equations so that “like” terms are lined up.Multiply one of the equations so OPPOSITES exist for one of the variables.Add the two equations to each other to eliminate that variable.4) Solve for the remaining variable.5) Plug in the solution from Step 4 into either equation to solve for the other variable.Check Your Answers!Plug in the x and y solutions into BOTH equations to verify that they both make TRUE statements.
3 Solve using elimination Example 1Solve using elimination-2( x + 6y = -3)2x + 3y = 32x + 3y = 3x + 6y = -3Multiply by (-2)2x + 3y = 3-2x - 12y = 6+-9y = 92x + 3y = 32x + 3(-1) = 3y = -1−3+32x = 6x = 3, y = -1x = 3
4 Solve using elimination Example 2Solve using elimination-2( x – 4y = 9)2x + 3y = -42x + 3y = -4x – 4y = 9Multiply by (-2)-2x + 8y = -182x + 3y = - 4+11y = -222x + 3y = -42x + 3(-2) = -4y = -2−6+62x = 2x = 1, y = -2x = 1
5 Solve using elimination Example 3Solve using elimination-4x − y = -128x − 4y = 0Multiply by (+2)2(-4x – y = -12)8x − 4y = 0-8x − 2y = -24+8x − 4y = 0-6y = -24-4x − y = -12-4x − (4) = -12y = 4-4x = -8x = 2, y = 4x = 2