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Systems of Linear Equations Graphing Graphing Solving systems with graphing is the easiest method. You must be good at rewriting equations. The equations must always be in “y=“ form. Graphing Solve the following system by graphing: ◦x+y=4 ◦ 3x – 2y = 9 y=4–x 9 2 y=− + (3.4, 0.6) 3 𝑥 2 1. Rewrite the equations as “y=“ 2. Type the equations into the calculator. 3. Graph. 4. Press 2nd , Trace, 5(intersect). 5. Select the first equation <enter> 6. Select 2nd equation <enter> 7. The calculator says Guess? <enter> 8. Solution is at the bottom. Graphing Try again: ◦ 2x - 3y = 9 ◦ 3x + 7y = 1 y = -3 + 1 7 y= - 2 x 3 3 x 7 (2.87, -1.09) 1. Rewrite the equations as “y=“ 2. Type the equations into the calculator. 3. Graph. 4. Press 2nd , Trace, 5(intersect). 5. Select the first equation <enter> 6. Select 2nd equation <enter> 7. The calculator says Guess? <enter> 8. Solution is at the bottom. Graphing If there is no solution, the calculator will give you an error message. If there are infinitely many solutions, you will only see one line on you graph. You will just have to pay attention!! Graphing Practice makes perfect! Try these: 2x + y = 8 4x – y = 12 x – 2y = 8 4x + 3y = 1 (3.33, 1.33) (2.36, -2.82) 2x + 2y = 12 4x – 4y = 8 (4,2)