Isolating Variables in Linear Equations

This video tutorial explains how to solve a linear equation with variable terms on both sides. It demonstrates two methods: isolating the variable on the right and left sides of the equation. The video also verifies the solution by substituting the value back into the original equation, ensuring the solution is correct.

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

• Add or subtract to isolate the variable term

• Add fractions to both sides

• Multiply both sides by zero

• Divide both sides by the variable

When isolating the variable on the right side, what operation is performed first?

• Subtract 2m from both sides

• Add 17 to both sides

• Multiply both sides by 4

• Divide both sides by 2

After isolating the variable term on the right, what is the next step?

• Multiply by 4

• Add 17 to both sides

• Subtract 17 from both sides

• Divide by 2

What is the final step to solve for the variable after isolating it on the right?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

When isolating the variable on the left side, what is the first operation?

• Add 6m to both sides

• Divide both sides by 6

• Subtract 6m from both sides

• Multiply both sides by 6

What is the result of subtracting 6m from both sides when isolating the variable on the left?

• Positive 4m

• Negative 6m

• Zero

• Negative 4m

What is the final step to solve for the variable after isolating it on the left?

• Multiply both sides by -4

• Subtract 4 from both sides

• Divide both sides by -4

• Add 4 to both sides

What is the purpose of comparing both methods of isolating the variable?

• To find a different solution

• To add complexity

• To verify the solution is consistent

• To change the equation

What is the result of substituting the solution back into the original equation?

• The solution changes

• The left side equals the right side

• The equation becomes undefined

• The equation becomes inconsistent

What is the final conclusion after verifying the solution?

• The solution is incorrect

• The solution is correct

• The solution is undefined

• The equation needs to be solved again