Algebra 4.2 Solving Systems of Equations with Substitution Method

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.

If the solution to the set of equations is x=4 and y=6, what is the correct way to write the answer?

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.

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.

Always clear _______ first.

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.

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

Two angles are complimentary if the sum equals _______ degrees.

Two angles are supplementary if the sum equals _______ degrees.