Solving Linear Equations

The video tutorial explains how to solve the equation 15y = 45 by testing different values to find which one makes the equation true. It demonstrates that the value 3 satisfies the equation, while other values like 5 and 0 do not. The tutorial emphasizes the importance of verifying solutions by plugging them into the equation to ensure both sides are equal.

What is the purpose of finding a solution to an equation?

• To simplify the equation

• To make both sides of the equation equal

• To find the largest possible value

• To determine the variable's coefficient

Which value, when substituted for y in the equation 15y = 45, makes the equation true?

• 2

• 3

• 4

• 5

Why is the value 5 not a solution to the equation 15y = 45?

• Because 15 times 5 equals 60

• Because 15 times 5 equals 30

• Because 15 times 5 equals 45

• Because 15 times 5 equals 75

What happens when you substitute 0 for y in the equation 15y = 45?

• The equation becomes false

• The equation becomes true

• The equation equals 15

• The equation equals 45

Which of the following values is the correct solution to the equation 15y = 45?

• 5

• 0

• 10

• 3