# Algebra 4.2 Solving Systems of Equations with Substitution Method

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1. The 5 steps for solving systems using the substitution method.

1. _______ one of the variables from one of the equations.

2. _______ the quantity found in step 1 into the other equation.

3. _______ the resulting equation.

4.________ the value from step 3 into either one of the original equations. Then ______ for the remaining variable.

5. _______ the solution in both of the original equations.
• 1. Isolate
• 2. Substitute
• 3. Solve
• 4. Substitute; Solve
• 5. Check
2. If the solution to the set of equations is x=4 and y=6, what is the correct way to write the answer?
{ (4,6 }
3. If you come to a solution that isn't equal, such as 4 = 6, how should the answer be written?

This means that the solution set represents ________ lines.
CONTRADICTION; SYSTEM IS INCONSISTENT

{ }  (empty set)

parallel
4. If you come to a solution that is equal, such as 8=8 and you got this after y = -2x + 4 was the solution to the first equation, how should the answer be written?

This means that the solution set represents the ___________ line.
IDENTITY; EQUATIONS ARE DEPENDENT

{x,y | y = -2x + 4}

• same
5. Always clear _______ first.
fractions.
6. One number is 3 less than twice the other number. If the sum of two numbers is 27, find the numbers.

1. Let ____ equal one number.
2. Let ____ equal the other number.
3. Write the equation of one number as compared to the other. Such as: x = ___y - __
4. Use the substitution method.
• 1. x
• 2. y
• 3. 2; 3   ( x= 2y - 3)
• 4. 2y - 3 + y = 27
7. The sum of the measures in a triangle is _____ degrees.
180
8. Two angles are complimentary if the sum equals _______ degrees.
90
9. Two angles are supplementary if the sum equals _______ degrees.
180
 Author: randycapped ID: 264816 Card Set: Algebra 4.2 Solving Systems of Equations with Substitution Method Updated: 2014-03-03 07:34:28 Tags: Algebra Substitution Folders: Description: Substitution Method Show Answers: