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

2. 6-4 pg , 36-54(x3)

3. 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.

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

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

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

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

8. 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 Multiply Both Equations

9. 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