Solving a system of equations by applying the addition method x+y=6, x‐y=‐2

The video tutorial explains the elimination method for solving systems of equations. It covers aligning variables and ensuring coefficients match, then choosing to add or subtract equations based on the signs of the coefficients. The tutorial demonstrates solving for variables after eliminating one variable, using an example where the coefficients are the same but with opposite signs.

What is the primary goal of the elimination method in solving equations?

• To find the value of a single variable

• To graph equations and find their intersection

• To eliminate a variable by adding or subtracting equations

• To multiply equations to find a solution

When should you add two equations in the elimination method?

• When both equations have no coefficients

• When both equations have different coefficients

• When both equations have the same coefficients with the same sign

• When both equations have the same coefficients with opposite signs

What should you ensure before adding or subtracting equations?

• Equations are in standard form

• Variables are aligned and coefficients of at least one variable are the same

• Equations are graphed

• Both equations have integer coefficients

In the example given, what happens when you add the equations 1X + 1Y and 1X - 1Y?

• You get 0X and 2Y

• You get 2X and eliminate Y

• You get 2Y and eliminate X

• You get 2X + 2Y

After finding the value of one variable using elimination, what is the next step?

• Substitute the value back into one of the original equations

• Check the solution with a calculator

• Multiply the equations again

• Graph the solution