How to subtract two equations to solve the system of equations x+y=6, x‐y=‐2

The video tutorial explains the process of using subtraction to solve equations. It begins by introducing the concept of subtraction as an alternative to addition for eliminating variables. The instructor emphasizes the importance of using parentheses when subtracting one equation from another to avoid confusion. The tutorial then demonstrates solving equations by subtracting, highlighting the handling of double negatives. The process is shown to yield the same result as addition, providing a different method to reach the solution. The video concludes with a recap of the subtraction method and its application in solving equations.

What is the primary purpose of subtraction in solving equations?

• To eliminate variables

• To add more variables

• To multiply variables

• To divide variables

Why is it important to use parentheses when subtracting equations?

• To ensure correct order of operations

• To make the equation look neat

• To eliminate the need for subtraction

• To add more variables

What happens when you subtract a negative number from another number?

• The result is a smaller number

• The result is always zero

• The result is a double negative

• The result is a larger number

After finding the value of one variable, what is the next step in solving the equation?

• Use it to find the other variable

• Divide it by two

• Ignore the value

• Multiply it by two

What is the final value of x in the given equation?

• x = 4

• x = 6

• x = 2

• x = 8