Tutorial - How do we solve a system of linear equations using any method 3x+2y=11, 4x+y= -2

The video tutorial explains how to solve a system of equations using different methods, including graphing, substitution, and elimination. The instructor focuses on choosing between elimination and substitution, demonstrating the elimination method step-by-step. The process involves isolating variables, applying the distributive property, and solving for the unknowns. The solution is presented as a coordinate point where the equations intersect.

Which of the following is NOT a method mentioned for solving systems of equations?

• Graphing

• Substitution

• Elimination

• Integration

What is the main reason for choosing elimination in the example discussed?

• It requires fewer steps.

• It is the fastest method.

• It is the only method that works for this problem.

• The variable is already isolated with a coefficient of 1.

What is the first step in solving the system using substitution in the video?

• Applying the distributive property

• Graphing the equations

• Isolating a variable

• Combining like terms

After applying the distributive property, what is the next step in solving the system?

• Subtracting terms

• Adding constants

• Combining like terms

• Dividing by a coefficient

What is the final solution to the system of equations as a coordinate point?

• (3, -10)

• (-10, 3)

• (-3, 10)

• (10, -3)