Understanding the Multiplication Property of Equality

The video tutorial explains how multiplying an equation by a constant does not change the solution of a system of equations. It introduces the multiplication property of equality, which states that multiplying both sides of a true equation by the same number results in another true equation. The tutorial demonstrates solving a system of equations using trial and error and shows that multiplying one equation by a constant maintains the same solution.

What is the new system of equations after multiplying the first equation by 2 in the example provided?

After multiplying one equation by a constant, how can you verify if the original solution still holds?