Solving Systems of Equations

The video tutorial covers the elimination method for solving systems of equations. It begins with an introduction to the method, followed by several step-by-step examples demonstrating how to eliminate variables by adding or subtracting equations. The tutorial concludes with a real-world word problem, illustrating the practical application of the elimination method.

Which method is NOT covered in the introduction of the lesson?

• Graphing

• Matrix Method

• Elimination

• Substitution

What is the first step in the elimination method using addition?

• Subtract the equations

• Add the equations to eliminate one variable

• Divide the equations

• Multiply the equations

In the elimination method, what happens when you add 1x and 2x?

• They cancel out

• They become 3x

• They become 0

• They remain unchanged

What should you do if adding the equations does not eliminate a variable?

• Divide both equations by the same number

• Switch the variables

• Add a constant to both equations

• Multiply one equation by a negative number

When multiplying an equation by negative one, what happens to the signs of the terms?

• They all change signs

• They all become positive

• Only the constants change signs

• They remain the same

What is the solution to the system if x is found to be 2 and y is 4?

• (2, -4)

• (-2, 4)

• (4, 2)

• (2, 4)

In the example where x is -1, what is the value of y?

• -6

• 6

• 1

• -1

What is the first step in solving the word problem using the elimination method?

• Multiply the equations

• Add the equations

• Identify the variables

• Subtract the equations

In the word problem, what is the cost of one hot dog?

• $3.00

• $2.50

• $1.95

• $1.25

What is the cost of one juice in the word problem?

• $2.00

• $0.95

• $1.25

• $1.50