Understanding Systems of Equations

The video tutorial explains how to determine which ordered pair satisfies a system of equations. It begins by introducing the concept of ordered pairs and the system of equations. The tutorial then demonstrates using the substitution method to check which ordered pairs satisfy the second equation. Through analysis, incorrect pairs are eliminated, narrowing down the possibilities. Finally, the correct ordered pair is identified by verifying it against the first equation.

What is the first step in solving a system of equations when one equation is simpler than the other?

• Solve the more complex equation first.

• Guess the solution.

• Substitute values into the simpler equation.

• Graph both equations.

Why can the ordered pair B be eliminated when analyzing the second equation?

• Because 0 equals three minus two.

• Because 1 equals four minus two.

• Because 1 does not equal four minus two.

• Because 0 does not equal three minus two.

Which ordered pair can be eliminated because zero does not equal three minus two?

• D

• A

• B

• C

After analyzing the second equation, which ordered pairs remain as potential solutions?

• A and B

• B and D

• A and C

• C and D

What is the result of substituting the ordered pair A into the first equation?

• 4 does not equal 14

• 4 equals 14

• 4 does not equal 10

• 4 equals 10

Which ordered pair satisfies both equations in the system?

• D

• A

• C

• B