Warmups – Solve using any method. 1) y = x – 62) x – y = 53) 4x + 5y = 12 3x – 2y = 7 2x – 3y = 7 4x + 3y = 4.

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Presentation transcript:

Warmups – Solve using any method. 1) y = x – 62) x – y = 53) 4x + 5y = 12 3x – 2y = 7 2x – 3y = 7 4x + 3y = 4

Homework Questions?

Word Problems Objective: To solve word problems involving systems of equations.

WORDS THAT MEAN... ADDSUBTRACTMULTIPLY SumDifferenceProduct PlusMinusTimes Increased byDecreased byTwice (x2) Added to Subtracted from Switch More thanLess than Order

EXAMPLE 1 1) Two numbers have a sum of 25. One number is 5 more than the other number. Find the numbers. Pick 2 variables x and y Write 2 equations x + y = 25 x = 5 + y Solve using... substitution Don’t forget, you get 2 answers: y = 10, x = 15 You do not have to write these as an ordered pair.

EXAMPLE 2 2) The difference of two numbers is 6. Their sum is 30. Find the two numbers. Pick 2 variables x and y Write 2 equations x – y = 6 x + y = 30 Solve using... elimination Don’t forget, you get 2 answers: x = 18, y = 12

EXAMPLE 3 3) The sum of two numbers is 15. One number is 4 times the other. Find the numbers. Pick 2 variables x and y Write 2 equations x + y = 15 x = 4y Solve using... substitution Don’t forget, you get 2 answers: y = 3, x = 12

TOO: 1) The sum of two numbers is 32. The difference between the two numbers is 8. Find the numbers. 20, 12 1) Three times the first number plus the second number equals 20. Five times the first number minus the second number equals 12. Find the numbers. 4, 8

HOMEWORK Solving Problems with System of Equations  Do both sides  Tell me if you used substitution (S) or elimination (E) QUIZ next week Yippee!