Solving Linear Equations: Adding and Subtracting Techniques

What is the main objective of the video?

• To understand quadratic equations

• To learn the substitution method

• To solve linear systems by adding or subtracting

• To graph linear equations

How many steps are there in the method discussed in the video?

• Four

• Three

• Two

• Five

What is the first step in solving linear systems by adding or subtracting?

• Line up the variables

• Subtract the equations

• Solve for a variable

• Add the equations

What should you ensure when lining up the variables?

• X is over another X and Y is over another Y

• X and Y are on the same side

• X is over Y and Y is over X

• X is over Y and Y is over another variable

What is the goal of adding or subtracting the equations?

• To find the slope

• To cancel out one of the variables

• To graph the equations

• To find the y-intercept

What happens when you add 2X and -2X?

• They add up to 4X

• They remain unchanged

• They cancel out to 0

• They subtract to -4X

After canceling out one variable, what is the next step?

• Substitute the value back into one of the original equations

• Find the slope

• Graph the equations

• Add the equations again

If you have y = 3, what should you do next?

• Graph the equation

• Find the slope

• Solve for y again

• Substitute y = 3 into one of the original equations

What is the final solution of the example problem in the video?

• x = 2, y = 3

• x = 1, y = 3

• x = 1, y = 2

• x = 3, y = 1

What is the benefit of the adding and subtracting method over the substitution method?

• It requires fewer variables

• It is easier and cuts out a step

• It is more accurate

• It is faster to graph