Solving Linear Equations and Inequalities

The video tutorial guides viewers through solving a complex equation involving fractions. It begins by introducing the equation and then demonstrates how to simplify it by removing terms and simplifying fractions. The tutorial continues by isolating the variable K and solving for it, ultimately finding that K equals zero. The solution is verified by substituting back into the original equation, confirming the correctness of the solution.

What is the initial equation presented in the video?

• 17K + 28 / 21 + 4/3 = 0

• 17K - 28 / 21 - 4/3 = 0

• 17K + 28 / 21 - 4/3 = 0

• 17K - 28 / 21 + 4/3 = 0

What is the first step in simplifying the equation?

• Multiply both sides by 21

• Subtract 4/3 from both sides

• Add 4/3 to both sides

• Divide both sides by 21

After subtracting 4/3 from both sides, what does the equation become?

• 17K + 28 / 21 = 4/3

• 17K - 28 / 21 = 4/3

• 17K - 28 / 21 = -4/3

• 17K + 28 / 21 = -4/3

What operation is used to eliminate the fraction in the equation?

• Divide both sides by 21

• Multiply both sides by 21

• Subtract 21 from both sides

• Add 21 to both sides

What is the purpose of multiplying both sides by 21?

• To eliminate the fraction

• To add a constant

• To divide the equation

• To subtract a constant

What is the result of multiplying -4/3 by 21?

• -28

• 28

• -7

• 7

How is the fraction -4/3 simplified when multiplied by 21?

• By dividing both numerator and denominator by 7

• By multiplying both numerator and denominator by 7

• By dividing both numerator and denominator by 3

• By multiplying both numerator and denominator by 3

What is the next step after simplifying the equation to 17K - 28 = -28?

• Add 28 to both sides

• Subtract 28 from both sides

• Multiply both sides by 17

• Divide both sides by 17

What is the significance of the number 7 in the simplification process?

• It is the result of subtracting 3 from 21

• It is the result of adding 3 to 21

• It is the result of multiplying 3 by 21

• It is the result of dividing 21 by 3

What is the value of K after solving the equation?

• 0

• 1

• 2

• -1