Understanding Ordered Pairs and Equations

The video tutorial explains how to determine if an ordered pair is a solution to a given equation. It starts by clarifying the concept of ordered pairs and their role in equations. The tutorial then tests two ordered pairs by substituting them into the equation, showing step-by-step calculations. The first pair does not satisfy the equation, while the second pair does, demonstrating the process of verifying solutions.

What is the equation we are trying to solve with ordered pairs?

• -3x - y = 6

• 3x + y = 6

• -3x + y = 6

• 3x - y = 6

In an ordered pair, what does the first number represent?

• The product of x and y

• The sum of x and y

• The x-coordinate

• The y-coordinate

What is the y-coordinate in the ordered pair (-4, 4)?

• 0

• -4

• 4

• 8

When substituting x = -4 and y = 4 into the equation, what is the result of -3(-4) - 4?

• 10

• 12

• 6

• 8

Does the ordered pair (-4, 4) satisfy the equation -3x - y = 6?

• Only if y is negative

• Only if x is positive

• No

• Yes

What is the x-coordinate in the ordered pair (-3, 3)?

• 3

• -3

• 6

• 0

When substituting x = -3 and y = 3 into the equation, what is the result of -3(-3) - 3?

• 6

• 12

• 3

• 9

Does the ordered pair (-3, 3) satisfy the equation -3x - y = 6?

• Yes

• No

• Only if x is positive

• Only if y is negative

Which ordered pair is a solution to the equation -3x - y = 6?

• (-4, 4)

• (3, -3)

• (-3, 3)

• (0, 0)

What is the final conclusion about the ordered pair (-3, 3)?

• It is only a partial solution

• It needs further verification

• It is a solution

• It is not a solution