Simultaneous Equations - Example to solve 3

TL;DR

This video demonstrates how to solve simultaneous equations by making the coefficients of variables the same.

Transcript

good day welcome to the tech math Channel this video is uh looking at simultaneous equations again there's a whole bunch of videos I've made about this already uh this is just going to be an example which i' i' recommend that you might try to solve in a second and we'll work through it uh there's a bunch of links up also to the Past videos I made o... Read More

Key Insights

• ❓ Simultaneous equations involve solving for multiple variables using algebraic equations.
• ❣️ To solve simultaneous equations, it is helpful to make the coefficients of x or y the same in both equations.
• 👻 Multiplying equations by suitable factors allows us to obtain equations with the same coefficients and simplify the solution process.
• 🥺 Taking one equation away from the other eliminates one variable, leading to the solution for the remaining variable.
• 🆘 Substituting the value of one variable into one of the original equations helps solve for the other variable.
• 🟰 In the example shown, x equals 5 and y equals 4 are the solution values for the simultaneous equations.
• 🔇 The speaker recommends checking the accuracy of the solution by substituting the obtained values back into one of the original equations.

Questions & Answers

Q: What are simultaneous equations?

Simultaneous equations are algebraic equations containing multiple variables, typically x and y, which are used to solve for the unknown values of these variables.

Q: How can you solve simultaneous equations?

To solve simultaneous equations, you need to make the coefficients of x or y the same in both equations. Then, you can subtract one equation from the other to eliminate one variable and solve for the remaining variable.

Q: What is the recommended approach to solve the given example?

The recommended approach is to make the coefficients of x the same in both equations. The speaker suggests multiplying equation 1 by 3 and equation 2 by 2 to achieve this. Then, you can subtract one equation from the other to solve for x.

Q: How do you find the value of y in the given example?

After obtaining the value of x, substitute it into one of the original equations and solve for y. The speaker substitutes x = 5 into equation 1, simplifies the equation, and finds that y = 4.

Summary & Key Takeaways

• The video provides a recap on solving simultaneous equations using algebraic equations with variables.

• To solve the example, the speaker recommends making the coefficients of x and y the same in both equations.

• By multiplying equation 1 by 3 and equation 2 by 2, the speaker obtains two equations with the same coefficients and solves for x and y.