Finding Ordered Pairs in Equations

The video tutorial explains how to find ordered pairs that satisfy a given equation, using the example equation 3x - 2y = 6. It demonstrates how to solve for X and Y values by substituting different values into the equation and shows how these solutions can be represented as points on a graph. The tutorial emphasizes that there are infinite solutions for a line equation and concludes by highlighting the usefulness of an XY table in organizing these solutions.

What is the purpose of finding ordered pairs in relation to a given equation?

• To solve for only one variable

• To find a single solution

• To create a graph with no points

• To identify multiple solutions

What equation is used in the video to demonstrate finding ordered pairs?

• 2x + 3y = 6

• 4x - y = 6

• 3x - 2y = 6

• x + y = 6

If X is set to 0 in the equation 3x - 2y = 6, what is the value of Y?

• 3

• -3

• 6

• 0

When Y is set to 0 in the equation 3x - 2y = 6, what is the value of X?

• 2

• 3

• 0

• 6

What ordered pair is found when X is set to 0?

• (3, 0)

• (-3, 0)

• (0, -3)

• (0, 3)

What happens to the equation 3x - 2y = 6 when X is set to 0?

• It becomes 3x + 2y = 6

• It becomes 3x - 2y = 0

• It becomes -2y = 6

• It becomes 3x = 6

What ordered pair is found when X is set to 1?

• (-3, 1)

• (1, 3)

• (3, 1)

• (1, -3)

If X is set to 1 in the equation 3x - 2y = 6, what is the value of Y?

• 6

• 3

• -3

• 0

What ordered pair is found when Y is set to 3?

• (4, 3)

• (3, 4)

• (3, -4)

• (4, -3)

If Y is set to 3 in the equation 3x - 2y = 6, what is the value of X?

• 4

• 12

• 3

• 6