Solving a linear system by using substitution

The video tutorial explains how to solve linear systems with two variables using three methods: graphing, substitution, and elimination. It emphasizes the importance of having as many equations as variables. The substitution method is detailed, showing how to simplify equations to solve for one variable and then find the second variable. The tutorial concludes with verifying the solution by checking the equations.

What is the minimum number of equations needed to solve a system with two variables?

• Four equations

• Three equations

• Two equations

• One equation

Which method is most suitable when one variable is already isolated?

• Graphing

• Elimination

• Matrix method

• Substitution

In the substitution method, what is the first step after substituting the known variable?

• Graph the equation

• Check the solution

• Add more variables

• Simplify the equation

After finding the value of x, what should be done next to find y?

• Substitute x back into one of the original equations

• Eliminate x from the equation

• Use the graphing method

• Guess the value of y

How can you verify the solution of a linear system?

• By graphing the equations

• By asking a friend

• By substituting the values back into the original equations

• By using a calculator