Using substitution to help us solve a system of equations

The video tutorial explains how to solve a system of equations using the substitution method. It begins with an introduction to the problem and discusses the importance of isolating variables with a coefficient of one. The tutorial then demonstrates solving for variables using substitution and applying the distributive property. Finally, it concludes with finding the values of the variables and summarizing the solution process.

What is the first step in solving a system of equations using the substitution method?

• Graph the equations

• Add the equations together

• Isolate a variable with a coefficient of 1

• Multiply both equations by a constant

Why is it advantageous to solve for a variable with a coefficient of 1?

• It avoids fractions

• It eliminates the need for graphing

• It simplifies the equation

• It makes the equation linear

After finding the value of one variable, what is the next step in the substitution method?

• Graph the solution

• Multiply the equations by a constant

• Check the solution in both equations

• Substitute back to find the other variable

What is the final value of M in the given system of equations?

• -7

• 7

• 5

• 0

What is the final value of N in the given system of equations?

• 8

• 6

• -6

• -8