Understanding Solutions to Equations

The video tutorial explains how to determine if an ordered pair is a solution to a given equation. It starts by clarifying the convention of ordered pairs, where the first coordinate is x and the second is y. The tutorial then tests two ordered pairs, (3, 2) and (2, 3), against the equation 4x - 1 = 3y + 5. By substituting the values of x and y into the equation, it demonstrates that (3, 2) satisfies the equation, while (2, 3) does not.

What is the equation given in the problem?

• 4x + 1 = 3y + 5

• 4x - 1 = 3y - 5

• 4x - 1 = 3y + 5

• 4x + 1 = 3y - 5

In an ordered pair, which coordinate is represented by the first number?

• x-coordinate

• y-coordinate

• z-coordinate

• w-coordinate

What is the value of x in the ordered pair (3, 2)?

• 3

• 4

• 5

• 2

What is the result of substituting x = 3 and y = 2 into the equation?

• 11 = 11

• 11 = 12

• 11 = 10

• 11 = 13

What is the value of y in the ordered pair (2, 3)?

• 2

• 5

• 3

• 4

What is the result of substituting x = 2 and y = 3 into the equation?

• 7 = 11

• 7 = 14

• 7 = 13

• 7 = 12

Which ordered pair is a solution to the equation?

• (1, 4)

• (4, 1)

• (3, 2)

• (2, 3)

What does it mean for an ordered pair to be a solution to an equation?

• The pair is irrelevant to the equation.

• The pair makes the equation true.

• The pair makes the equation false.

• The pair is a guess.

What operation is performed first when checking if an ordered pair is a solution?

• Addition

• Division

• Subtraction

• Multiplication

What is the final conclusion about the ordered pairs?

• Both pairs are solutions.

• Only (2, 3) is a solution.

• Neither pair is a solution.

• Only (3, 2) is a solution.