Solving Equations: Understanding How Different Equations Can Have the Same Solution

The video tutorial explains the properties of equality in equations, focusing on the additive property. It demonstrates how these properties apply to equations with unknown variables and how to determine if different equations have the same solution. Through examples, the tutorial shows how to use the additive property to maintain equivalency and find solutions for equations.

What is the additive property of equality?

• Adding different numbers to both sides of an equation

• Adding the same number to both sides of an equation

• Multiplying both sides of an equation by the same number

• Subtracting different numbers from both sides of an equation

What does a solution in math represent?

• A number that is always positive

• A variable that cannot be solved

• A number that makes an equation true

• A number that makes an equation false

How can you determine if two equations have the same solution?

• By ignoring the variables in the equations

• By using the additive property of equality

• By solving only one of the equations

• By adding different numbers to each equation

In the example where x + 5 = 10 and x + 15 = 20, what operation is used to show they have the same solution?

• Subtracting 10 from both sides

• Adding 10 to both sides

• Dividing both sides by 5

• Multiplying both sides by 2

In the example where x + 7 = 14 and x - 2 = 5, what is the value of x?

• x = 8

• x = 7

• x = 6

• x = 5