Solving Systems of Equations in Word Problems

What is the total weight of 3 televisions and 5 DVD players?

• 62.5 pounds

• 70 pounds

• 52 pounds

• 45 pounds

How many DVD players are included in the second given combination?

• 4

• 2

• 5

• 3

What variable is used to represent the weight of a television?

• d

• t

• w

• x

What is the equation derived from the weight of 3 televisions and 5 DVD players?

• 3t + 2d = 52

• 3t + 5d = 62.5

• 5t + 3d = 62.5

• 3t + 5d = 52

What is the purpose of multiplying the second equation by -1?

• To simplify the equation

• To eliminate the t term

• To find the weight of a DVD player

• To add the equations

What is the result of adding the two equations after multiplying the second by -1?

• 3d = 10.5

• 3t = 10.5

• 5d = 10.5

• 2d = 10.5

What is the weight of a DVD player?

• 3 pounds

• 3.5 pounds

• 4.5 pounds

• 4 pounds

Which equation is used to find the weight of a television after finding the weight of a DVD player?

• 5t + 3d = 62.5

• 3t + 2d = 52

• 3t + 5d = 52

• 3t + 5d = 62.5

What is the weight of a television?

• 10 pounds

• 12 pounds

• 15 pounds

• 18 pounds

What is the final step in solving the system of equations?

• Dividing both sides by 3

• Multiplying the equations

• Substituting back to find the weight of the television

• Adding the equations