Presentation on theme: "5.3 Solving Systems using Elimination"— Presentation transcript:
1 5.3 Solving Systems using Elimination I can use elimination to solve a system of linear equations.
2 EliminationAdd or subtract two linear equations in order to eliminate one of the variables.Look for whichever is easiest to cancel by adding or subtracting.Answers should still be ordered pairs.
3 Practice 2x + 5y = 17 6x – 5y = -9 Cancel 5y using addition. Now we have 8x = 8x = 1Substitute x = 1 into either equation to find y.(1, 3)
4 You try! x + y = 101 2.5x + y = 164 Use subtraction (42, 59) Change all the signs of the second equation.(42, 59)
5 Multiplying to Cancel 10𝑥−7𝑦=2 −5𝑥+3𝑦=−3 Anything cancel? If we were to multiply the second equation by 2, then x would cancel.So the second equation becomes 2 −5𝑥+3𝑦=−3 −5𝑥+3𝑦=−3 or −10𝑥+6𝑦=−6Use addition(3, 4)