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Bell Work 2/11/2015 Solve the system by substitution.

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**Yesterday’s Homework Any questions?**

Please pass your homework to the front. Make sure the correct heading is on your paper. Is your NAME on your paper? Make sure the homework is 100% complete. Incomplete work will NOT be accepted.

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**Solving Systems by Elimination (opposites)**

Heading 4/24/2017 Solving Systems by Elimination (opposites) TSWBAT: solve a linear system by elimination when already having opposites. Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.

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**Notes Solving a System by Elimination**

1. Arrange the like variables in columns. - This is already done. 2. Pick a variable, x or y, and make the two equations opposites using multiplication. 3. Add the equations together (eliminating a variable) and solve for the remaining variable. 4. Substitute the answer into one of the ORIGINAL equations and solve. 5. Check your solution.

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**Notes Solve the system by linear combination.**

1) Arrange the variables. Ex. 2) Make opposites. 3) Add and solve for the variable. 4) Substitute into ANY original equation. 5) Check your answer.

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**Notes Solve the system by linear combination.**

1) Arrange the variables. Ex. 2) Make opposites. Check 3) Add and solve for the variable. 4) Substitute into ANY original equation. 5) Check your answer.

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**Notes 1) Arrange the variables.**

Now you try. Solve the system by linear combination. 1) Arrange the variables. Ex. 2) Make opposites. 3) Add and solve for the variable. 4) Substitute into ANY original equation. 5) Check your answer.

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**Notes Solve the system by linear combination.**

1) Arrange the variables. Ex. 2) Make opposites. Check 3) Add and solve for the variable. 4) Substitute into ANY original equation. 5) Check your answer.

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**Notes Solve the system by linear combination.**

Now you try. Solve the system by linear combination. 1) Arrange the variables. Ex. 2) Make opposites. 3) Add and solve for the variable. 4) Substitute into ANY original equation. 5) Check your answer.

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**Notes Solve the system by linear combination.**

1) Arrange the variables. Ex. 2) Make opposites. Check 3) Add and solve for the variable. 4) Substitute into ANY original equation. 5) Check your answer.

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**Notes Solve the system by linear combination.**

1) Arrange the variables. Ex. 2) Make opposites. 3) Add and solve for the variable. 4) Substitute into ANY original equation. 5) Check your answer.

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**Notes 1) Arrange the variables.**

Now you try. 1) Arrange the variables. Solve the system by linear combination. Ex. 2) Make opposites. 3) Add and solve for the variable. 4) Substitute into ANY original equation. 5) Check your answer.

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Summary When a linear system already has ________ just add up both equations and solve for one of the variables. Next plug that solution back into any of the original _________ to find the other ________. opposites equations variable

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**Today’s Homework Rules for Homework Pencil ONLY.**

Must show all of your work. NO WORK = NO CREDIT Must attempt EVERY problem. Always check your answers.

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Homework 6.3A Solve the system by linear combination.

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Ticket Out the Door Complete the Ticket Out the Door without talking!!!!! Talking = time after the bell! Put your NAME on the paper. When finished, turn your paper face DOWN. Solve the system.

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