How to Use the Inverse Method to Solve a Linear Equation? | Don't Memorise

TL;DR

Learn how to solve linear equations by applying inverse operations, which involve performing the same operation on both sides of the equation.

Transcript

this was the equation we looked at in the previous video x + 3 equals 10 I have left some space here intentionally there are two ways in which we can solve an equation the phrase solving an equation means finding the value of the variable that satisfies the equation by satisfies I mean a value of the variable that equates the left hand side and the... Read More

Key Insights

• ↔️ Solving linear equations involves finding the value of the variable that satisfies the equation by equating the left and right sides.
• 🙃 The inverse operations method is one approach to solving equations, which requires performing the same operation on both sides of the equation to isolate the variable.
• 🍉 It is essential to carefully apply inverse operations, such as addition, subtraction, multiplication, or division, to eliminate terms and simplify the equation.
• 🫲 Dividing both sides of the equation by the coefficient of the variable helps isolate the variable on the left-hand side.
• ✅ After obtaining a value for the variable, it is crucial to check the solution by substituting it back into the original equation to ensure its correctness.
• 🙃 The concept of performing identical operations on both sides of the equation allows maintaining the equality between the left and right sides throughout the solving process.
• 🛟 Inverse operations serve to undo each other, enabling the isolation of the variable and obtaining its value.

Questions & Answers

Q: What is the main aim in solving linear equations?

The main aim in solving linear equations is to find the value of the variable that satisfies the equation, equating the left and right sides.

Q: How does the inverse operations method work in solving equations?

The inverse operations method involves performing the same operation on both sides of the equation to eliminate terms and isolate the variable, such as adding, subtracting, multiplying, or dividing.

Q: Why is it necessary to check the obtained value of the variable after solving the equation?

Checking the obtained value is necessary to ensure that the equation remains true when the value of the variable is substituted back into the equation.

Q: What are some examples of inverse operations in solving equations?

Examples of inverse operations include adding/subtracting the same value, multiplying/dividing by the same value, and squaring/square rooting.

Summary & Key Takeaways

• In solving linear equations, the goal is to find the value of the variable that satisfies the equation.

• The inverse operations method involves performing the same operation on both sides of the equation to eliminate terms and isolate the variable.

• After solving the equation, it is important to check the obtained value of the variable by substituting it back into the original equation.