Learn how to solve a system of equations by substitution

The video tutorial demonstrates how to solve a system of equations using the substitution method. It begins by explaining the concept of substitution, where a value is substituted for a variable. The tutorial then walks through the process of substituting the expression for one variable into another equation, solving for the variable D, and finally using the value of D to find the value of C. The solution set is determined as D = 2 and C = -6.

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

• To graph the equations

• To eliminate all variables

• To find the value of one variable

• To rewrite the equation in standard form

In the substitution method, what should you do if you know the value of one variable?

• Use it to find the slope

• Substitute it into the other equation

• Graph the equation

• Ignore it and solve for the other variable

What is the result of substituting C = 5D - 16 into the second equation?

• An equation with two variables

• A quadratic equation

• An equation with only D

• An equation with only C

After finding D = 2, how do you determine the value of C?

• By using the quadratic formula

• By guessing the value of C

• By substituting D back into the original equation for C

• By graphing the equation

What is the solution set for the system of equations in this tutorial?

• D = -2, C = 6

• D = 2, C = 6

• D = 2, C = -6

• D = -2, C = -6