1. 6.3 – Solving Linear Systems By Linear Combination

2. Review Refresher  Put the following equations into standard form! 1) 3y = 7 + 4x 3) 5y + 5 = x - 8 2) 2x = 3y - 1

3.  In linear combination, we want to change TWO equations with TWO variables into ONE equation with ONE variable. What does Linear Combination mean?

4. Steps 1.Put equations in STANDARD FORM. 2.Multiply equations to create opposites. 3.Add equations together to create one new equation. 4.Solve for the first variable. 5.Substitute the variable into the easier original equation. 6.Solve for the second variable. 7.Check your answer!

5. Example 1 (iDo) (4, 0) 1.Put equations in STANDARD FORM. 2.Multiply equations to create opposites. 3.Add equations together to create one new equation. 4.Solve for the first variable. 5.Substitute the variable into the easier original equation. 6.Solve for the second variable. 7.Check your answer!

6. Example 2 (WiiDo) (2, 1) 1.Put equations in STANDARD FORM. 2.Multiply equations to create opposites. 3.Add equations together to create one new equation. 4.Solve for the first variable. 5.Substitute the variable into the easier original equation. 6.Solve for the second variable. 7.Check your answer!

7. Example 3 (wiiDo) (2, 3) 1.Put equations in STANDARD FORM. 2.Multiply equations to create opposites. 3.Add equations together to create one new equation. 4.Solve for the first variable. 5.Substitute the variable into the easier original equation. 6.Solve for the second variable. 7.Check your answer!

8. Example 4 (uDo) (3, -1) 1.Put equations in STANDARD FORM. 2.Multiply equations to create opposites. 3.Add equations together to create one new equation. 4.Solve for the first variable. 5.Substitute the variable into the easier original equation. 6.Solve for the second variable. 7.Check your answer!

9. Example 5 (uDo) (0, 4) 1.Put equations in STANDARD FORM. 2.Multiply equations to create opposites. 3.Add equations together to create one new equation. 4.Solve for the first variable. 5.Substitute the variable into the easier original equation. 6.Solve for the second variable. 7.Check your answer!

10. Example 6 (uDo) (-2, 3) 1.Put equations in STANDARD FORM. 2.Multiply equations to create opposites. 3.Add equations together to create one new equation. 4.Solve for the first variable. 5.Substitute the variable into the easier original equation. 6.Solve for the second variable. 7.Check your answer!

11.  6.3 Practice  On the back of the exit slip. Homework: Exit Slip  Solo-to be done alone  Complete the 3 question exit slip.