How to apply the substitution method to solve a system of equations

The video tutorial explains how to solve equations where variables are not isolated. It emphasizes identifying coefficients of 1 or -1 to simplify substitution. The process of solving for X is demonstrated, followed by applying the distributive property. The tutorial concludes by explaining infinite solutions and their graphical representation.

What is the first step in solving an equation using substitution when no variable is isolated?

• Identify the variable with the largest coefficient

• Solve for the variable with the smallest coefficient

• Look for a variable with a coefficient of 1 or -1

• Choose any variable at random

Why is it beneficial to choose a variable with a coefficient of 1 for substitution?

• It makes the equation more complex

• It simplifies the process of solving

• It ensures there is no solution

• It guarantees a unique solution

When rewriting an equation to isolate a variable, what operation is typically used?

• Subtraction

• Division

• Multiplication

• Addition

What does it mean if, after substitution, the equation simplifies to a true statement like 6 = 6?

• The solution is undefined

• There is no solution

• There is one unique solution

• There are infinite solutions

How does the concept of infinite solutions relate to graphing the equations?

• The graphs will never intersect

• The graphs will be parallel

• The graphs will intersect at one point

• The graphs will be the same line