Solving Linear Equations and Verification

The video tutorial explains how to solve a linear equation by distributing terms, simplifying both sides, isolating the variable, and solving for x. The solution is verified by substituting back into the original equation to ensure both sides are equal. The final solution is presented in a simplified fractional form.

What is the first step in solving the equation to isolate x?

• Subtract 3 from both sides

• Multiply both sides by 7

• Add 9 to both sides

• Distribute the terms

After distributing, what is the expression on the left side of the equation?

• 7x + 32

• 7x + 66

• 7x + 63

• 7x + 35

What operation is used to eliminate the x term from one side of the equation?

• Add 7x to both sides

• Multiply both sides by 7

• Subtract 7x from both sides

• Divide both sides by 7

What is the result of subtracting 66 from both sides of the equation?

• 14x = -66

• 14x = -34

• 14x = 66

• 14x = 34

How do you simplify the fraction -34/14?

• Divide by 3

• Divide by 4

• Divide by 2

• Divide by 5

What is the simplified solution for x?

• x = -34/7

• x = -34/14

• x = -17/14

• x = -17/7

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

• To simplify the equation

• To eliminate fractions

• To find a new solution

• To verify the solution

What should the left side of the equation equal after substitution if the solution is correct?

• 35

• 49

• 66

• 32

What is the value of the right side of the equation after substitution?

• 32

• 66

• 49

• 35

What does it mean if both sides of the equation equal 49 after substitution?

• The equation is unsolvable

• The solution is verified

• The equation needs more simplification

• The solution is incorrect