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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

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 }

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

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}

Always clear _______ first.
fractions.

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

The sum of the measures in a triangle is _____ degrees.
180

Two angles are complimentary if the sum equals _______ degrees.
90

Two angles are supplementary if the sum equals _______ degrees.
180

