First_Degree6.notebook 1 September 16, 2013 Oct 37:15 AM Solving Systems Algebraically U2S4: I can solve systems of equations algebraically. Step 1: solve one of the equations for one of the variables Step 2: substitute for that variable in the other equation and solve x + 2y = 8 ½ x y = 18 Oct 37:15 AM Step 3: substitute the value into either equation and solve Step 4: check your solution
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substitute the value into either equation and solve check ... for 2.6 Solving systems...Solving Systems Algebraically U2S4: I can solve systems of equations algebraically. Step 1:
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First_Degree6.notebook
1
September 16, 2013
Oct 37:15 AM
Solving Systems Algebraically
U2S4: I can solve systems of equations algebraically.
Step 1: solve one of the equations for one of the variables
Step 2: substitute for that variable in the other equation and solve
x + 2y = 8½x y = 18
Oct 37:15 AM
Step 3: substitute the value into either equation and solve
Step 4: check your solution
First_Degree6.notebook
2
September 16, 2013
Oct 37:15 AM
Example: solve by substitution
x + 2y = 8½x y = 18
Oct 37:15 AM
Example: solve by substitution
x + 4y = 26x 5y = 10
First_Degree6.notebook
3
September 16, 2013
Oct 37:15 AM
Example: solve by substitution
y = x + 4x y = 4
Oct 37:15 AM
Example: solve by substitution
4x 2y = 66x 3y = 9
First_Degree6.notebook
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September 16, 2013
Oct 37:15 AM
Assignment: Unit 2, Lesson 6
U2S4: I can solve systems of equations graphically and algebraically.
3. 4.
1. 2.
Show your work on your own paper.
Solve by graphing. Classify the system. Use your own graph paper.
5. 6. 7.
8.
a.
b. Solve the system by substitution. State the answer in the context of the problem.