Solving Linear Equations

The video tutorial explains how to solve the equation 3x = 15 - 3y to find the value of X + Y. It begins by rearranging the equation to get all terms on one side, resulting in 3x + 3y = 15. The next step involves simplifying the equation by dividing all terms by three, leading to the final solution of X + Y = 5.

What is the first step to solve the equation 3x = 15 - 3y?

• Subtract 3y from both sides

• Add 3y to both sides

• Multiply both sides by 3

• Divide both sides by 3

After adding 3y to both sides, what does the equation become?

• 3x - 3y = 15

• 3x + 3y = 15

• 3x = 15

• x + y = 5

What common factor is identified in the equation 3x + 3y = 15?

• 15

• 2

• 3

• 5

What operation is performed to simplify 3x + 3y = 15 to x + y = 5?

• Add 3 to each term

• Multiply each term by 3

• Subtract 3 from each term

• Divide each term by 3

What is the final simplified form of the equation?

• 3x = 15

• x + y = 5

• 3x + 3y = 15

• x - y = 5