Applying Elimination to Solve a System of Equations with One Solution

The video tutorial demonstrates how to solve a system of equations using the elimination method. It begins by explaining the choice of elimination over substitution and proceeds to find common coefficients for the variables. The tutorial then shows how to multiply equations to eliminate one variable, solve for the remaining variables, and finally arrive at the solution set. The process is detailed step-by-step, ensuring clarity in understanding the elimination method.

What is the primary goal when using the elimination method to solve equations?

• To make the coefficients of one variable the same

• To simplify the equations by division

• To find the solution set directly

• To convert the equations into a single variable

Why is it beneficial to eliminate the variable C in the given equations?

• Because it appears in both equations

• Because it has a coefficient of one

• Because it simplifies the calculation

• Because it has the largest coefficient

What is the result of adding the equations after eliminating variable C?

• A new equation with variable C

• An equation with variable D only

• A solution set for both variables

• An equation with no variables

After finding the value of D, what is the next step in solving the equations?

• Divide the equations by the value of D

• Substitute D back into one of the original equations

• Multiply both equations by a new multiplier

• Add the equations again

What is the final solution set for the given equations?

• (2, -6)

• (0, -2)

• (3, -5)

• (1, -4)