Solving Word Problems with Systems of Equations

What is the first step in solving word problems involving systems of equations?

• Solve the equations

• Introduce variables

• Label the variables

• Write the final answer

Why is it important to label variables in systems of equations?

• To make the equations look complex

• To make solving easier

• To confuse the solver

• To identify what each variable represents

What does 'sum' imply in the context of systems of equations?

• Multiplication

• Addition

• Division

• Subtraction

In the first example, what is the value of x when solved using the elimination method?

• 11

• 6

• 1

• 5

How do you verify the solution of the system of equations in the first example?

• Check with a calculator

• Substitute back into the original equations

• None of the above

• Guess and check

What is the sum of the two numbers in the second example?

• 16

• 12

• 4

• 8

What method is used to solve the systems in both examples?

• Substitution

• Graphing

• Elimination

• Matrix

In the second example, what is the value of x after solving the system?

• 4

• 16

• 12

• 8

What does the difference in a system of equations refer to?

• Addition

• Subtraction

• Multiplication

• Division

After solving for x in the second example, how is y determined?

• By using a calculator

• By adding values

• By substituting x into one of the equations

• By graphing