Tutorial - How do we solve a system of linear equations using any method 2x-3y=8, -4x+5y=-10

The video tutorial explains the elimination method for solving systems of equations. It begins by discussing why elimination is chosen over other methods, focusing on the coefficients of variables. The tutorial then covers finding the least common multiple (LCM) of coefficients to align them for elimination. The process of applying the elimination method is detailed, including multiplying equations to achieve the same coefficients and solving for variables. Finally, the solution is verified, and the tutorial concludes with the intersection point of the equations.

Why did the instructor choose the elimination method for solving the system of equations?

• Because the equations were already in standard form.

• Because the coefficients of the variables were easy to manipulate.

• Because the variables were already isolated.

• Because the variables had coefficients of one.

What is the least common multiple (LCM) used for the coefficients of X in the given system?

• 8

• 2

• 4

• 6

What should you do if the coefficients of the variables in two equations have opposite signs?

• Divide the equations.

• Add the equations.

• Subtract the equations.

• Multiply the equations.

After eliminating one variable, what is the next step in solving the system of equations?

• Check the solution with a calculator.

• Substitute the value back into one of the original equations.

• Multiply the equations again.

• Graph the equations.

What is the solution to the system of equations as found by the instructor?

• X = -5, Y = 6

• X = 5, Y = -6

• X = -5, Y = -6

• X = 5, Y = 6