Tutorial - How do we solve a system of linear equations using any method 4x-10y=18, -2x+5y=-9

The video tutorial explains how to solve a system of equations using the elimination method. The instructor demonstrates how to adjust coefficients by multiplying equations to simplify the process. The tutorial highlights that when equations result in 0 = 0, it indicates infinite solutions, meaning the equations represent the same line. The video concludes by summarizing the process and confirming the infinite solutions outcome.

What method does the teacher decide to use for solving the system of equations?

• Matrix Method

• Elimination

• Graphing

• Substitution

Why does the teacher choose to multiply the top equation by 1/2?

• To simplify the equation

• To eliminate the variable y

• To make the coefficients of x equal

• To change the sign of the coefficients

What is the result when the teacher adds the two equations together?

• No solution

• 0 = 0

• y = 0

• x = 0

What does the result 0 = 0 indicate about the system of equations?

• There is no solution

• There is a unique solution

• There are infinite solutions

• The system is inconsistent

How would the graph of these equations appear?

• Two intersecting lines

• Two parallel lines

• Two identical lines

• Two perpendicular lines