Grade 6 Exam > Grade 6 Videos > Mathematics for Grade 6 > Solving Equations: Stepwise Transposing Method
Solving Equations: Stepwise Transposing Method Video Lecture | Mathematics for Grade 6
FAQs on Solving Equations: Stepwise Transposing Method Video Lecture - Mathematics for Grade 6
| 1. What is the stepwise transposing method for solving equations? |  |
Ans. The stepwise transposing method is a technique used to solve equations by isolating the variable on one side. It involves transposing or moving terms from one side of the equation to the other side while maintaining the equality.
| 2. How do you apply the stepwise transposing method to solve equations? | |
Ans. To solve an equation using the stepwise transposing method, start by identifying the terms with the variable. Then, perform the inverse operations to move the terms to one side of the equation, isolating the variable. Repeat this process until the variable is on one side and the constant term is on the other side, resulting in the solution.
| 3. Can you provide an example of solving an equation using the stepwise transposing method? | |
Ans. Sure! Let's solve the equation: 2x + 5 = 13 using the stepwise transposing method.
Step 1: Start with the equation 2x + 5 = 13.
Step 2: Subtract 5 from both sides: 2x = 8.
Step 3: Divide both sides by 2: x = 4.
Thus, the solution is x = 4.
| 4. Are there any limitations or exceptions to using the stepwise transposing method? | |
Ans. The stepwise transposing method is applicable to linear equations and equations involving basic operations like addition, subtraction, multiplication, and division. However, it may not be suitable for more complex equations involving exponents, radicals, or trigonometric functions.
| 5. What should I do if the equation has fractions or decimals while using the stepwise transposing method? | |
Ans. If the equation contains fractions or decimals, it is recommended to eliminate them by multiplying both sides of the equation by the least common multiple (LCM) of the denominators. This will result in an equation with whole numbers, making it easier to apply the stepwise transposing method.
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