Solve Simultaneous Equations using the elimination method

TL;DR

Learn how to solve simultaneous equations using the elimination method in under 5 minutes.

Transcript

good day welcome to the tech math Channel I'm Josh today we're going to look at how to solve simultaneous equations using the elimination method I'm trying to do this under 5 minutes each example so let's get moving here now this is part three of a whole playlist so if you're just new to these maybe you want to check out the description and go to t... Read More

Key Insights

• ❓ The elimination method involves multiplying equations to match coefficients and subtracting one equation from the other.
• 🛩️ It is important to choose the variable with the smallest absolute difference in coefficients to multiply and make the coefficients the same.
• 👶 After eliminating a variable, a new equation with one variable is obtained, which can be solved to find the value of that variable.
• 🆘 Substituting the value of one variable back into one of the original equations helps find the value of the other variable.
• ⌛ The elimination method can be used for any number of equations by eliminating one variable at a time.
• ✅ Checking the solution by substituting the values back into the original equations ensures its accuracy.
• 🆘 Practicing with different examples and understanding the steps involved can help master the elimination method for solving simultaneous equations.

Questions & Answers

Q: What is the elimination method for solving simultaneous equations?

The elimination method involves multiplying the equations to make the coefficients of one variable the same and then subtracting one equation from the other to eliminate that variable, leaving an equation with just one variable.

Q: How do you determine which variable to multiply to match the coefficients?

Look for the variable with the smallest absolute difference between the coefficients in both equations. Multiply the equation corresponding to that variable so that its coefficient becomes the same in both equations.

Q: What do you do after eliminating one variable?

After eliminating one variable, you will have an equation with just one variable. Solve this equation to find the value of the variable. Then, substitute this value back into one of the original equations to find the value of the other variable.

Q: Can the elimination method be used for more than two equations?

Yes, the elimination method can be used for any number of equations. The process involves eliminating one variable at a time until you are left with an equation for the final variable.

Summary & Key Takeaways

• This video tutorial explains the elimination method for solving simultaneous equations.

• The method involves multiplying the equations to get the same coefficients for a variable and then subtracting one equation from the other to eliminate that variable.

• The resulting equation will have one variable, which can be solved to find the corresponding value and then substituted back to find the other variable.