Solving Linear Equations Concepts

In this video, Jet explains how to solve linear equations with variables on both sides. The tutorial covers two examples, demonstrating the importance of eliminating the smaller variable to simplify the equation. By doing so, the equation becomes easier to solve, as it results in a positive variable. The video emphasizes the strategy of removing the smaller variable to position oneself better for solving the equation. Jet concludes with a recap of the key points and invites viewers to ask questions in the comments.

What is the first step in solving linear equations with variables on both sides?

• Divide both sides by a constant

• Multiply both sides by a constant

• Eliminate one of the variables

• Add the variables together

In the equation 5x - 10 = 3x + 12, which variable should be eliminated first?

• 12

• 10

• 3x

• 5x

Why is it beneficial to eliminate the smaller variable in an equation?

• It makes the equation more complex

• It makes the equation longer

• It simplifies the equation

• It results in a negative variable

After eliminating 3x from both sides of 5x - 10 = 3x + 12, what is the resulting equation?

• 2x - 10 = 12

• 5x - 10 = 12

• 2x = 22

• 5x = 22

What is the final solution for x in the equation 5x - 10 = 3x + 12?

• x = 12

• x = 11

• x = 10

• x = 13

In the second example, why is -5x considered the smaller variable compared to 2x?

• Because -5 is less than 2

• Because 5 is greater than 2

• Because negative numbers are always smaller

• Because 2x is on the left side

What operation is performed to eliminate -5x in the equation 2x - 6 = -5x + 8?

• Subtract 5x from both sides

• Add 5x to both sides

• Divide both sides by 5

• Multiply both sides by 5

What is the final solution for x in the equation 2x - 6 = -5x + 8?

• x = 2

• x = 3

• x = 4

• x = 1