Elimination Using Multiplication

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Presentation transcript:

Elimination Using Multiplication 6-4 Notes for Algebra 1 Elimination Using Multiplication

6-4 pg. 360 7-24, 36-54(x3)

Steps for solving Elimination 1.) Multiply at least one equation by a constant to get two equations that contain opposite terms. 2.) Add the equations, eliminating one variable. Then solve the equation. 3.) Substitute the value from step 2 into one of the original equations and solve for the remaining variable. Write the solution as an ordered pair.

Example 1 pg. 357 Multiply one equation to eliminate a variable 1.) 2𝑥+𝑦=23 3𝑥+2𝑦=37

Example 1 pg. 357 Multiply one equation to eliminate a variable 1.) 2𝑥+𝑦=23 3𝑥+2𝑦=37 9, 5

Example 2 pg. 358 Multiply Both Equations to Eliminate a Variable 1.) 4𝑥+3𝑦=8 3𝑥−5𝑦=−23

Example 2 pg. 358 Multiply Both Equations to Eliminate a Variable 1.) 4𝑥+3𝑦=8 3𝑥−5𝑦=−23 −1, 4

Example 3 pg. 359 solve a system of Equations TRANSPORTATION A fishing boat travels 10 miles down-stream in 30 minutes. The return trip takes the boat 40 minutes. Find the rate in miles per hour of the boat in still water. Example 2 pg. 358 Multiply Both Equations

Example 3 pg. 359 solve a system of Equations TRANSPORTATION A fishing boat travels 10 miles down-stream in 30 minutes. The return trip takes the boat 40 minutes. Find the rate in miles per hour of the boat in still water. Example 2 pg. 358 Multiply Both Equations 17.5 miles per hour