Solve the system of equations by using substitution

The video tutorial explains how to solve a system of equations using the substitution method. It begins by identifying which variable to solve for first, typically the one with a coefficient of one or easily isolated. The tutorial demonstrates substituting the solved variable into the second equation and using the distributive property to solve for the other variable. Finally, it shows how to find the values of both variables and interpret the solution as the intersection point of the graphs of the equations.

What is the main goal when using substitution to solve a system of equations?

• To eliminate all variables

• To find the value of one variable first

• To graph the equations

• To multiply the equations

Which variable should you choose to isolate first when using substitution?

• The variable that appears in both equations

• The variable with the smallest exponent

• The variable with the largest coefficient

• The variable that can be most easily isolated

What is the next step after substituting the isolated variable into the second equation?

• Graph the resulting equation

• Divide both sides by a constant

• Apply the distributive property

• Add the equations together

After finding the value of one variable, what should you do next?

• Ignore it and solve for the other variable

• Substitute it back into one of the original equations

• Multiply it by the other variable

• Graph the solution

What does the solution to the system of equations represent graphically?

• The y-intercept of the graphs

• The slope of the graphs

• The midpoint of the graphs

• The intersection of the graphs