How to solve Simultaneous Equations by Elimination - example

TL;DR

Learn how to solve simultaneous equations by matching coefficients and eliminating variables.

Transcript

good day welcome to the tech math Channel I'm Josh today we're going to have a look at another example of how to solve simultaneous equations using the elimination method so we're going to use this example right here we have two equations the first equation we have x + 3 Y is = to 11 the second equation 3x + 2 y is = to 19 now we're going to solve ... Read More

Key Insights

• ❓ Coefficients of variables must match to simplify solving simultaneous equations.
• 🆘 Multiplying equations by constants helps in matching coefficients.
• ❓ Elimination involves subtracting one equation from another to remove a variable.
• ❓ Substituting eliminated variables back into equations confirms the solution's accuracy.
• 🥶 Structural approach to solving equations ensures a systematic and error-free solving process.
• ✅ Checking the final solution by substituting back ensures the validity of the found values.
• ❓ Understanding the concept of matching coefficients and eliminating variables is crucial in solving simultaneous equations.

Questions & Answers

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

The elimination method involves matching coefficients of variables in equations to simplify solving for those variables by eliminating one.

Q: How do you match coefficients in equations?

To match coefficients, multiply equations by a constant to make coefficients of variables in both equations equal.

Q: What is the next step after matching coefficients in the elimination method?

After matching coefficients, perform elimination by subtracting one equation from the other to eliminate a variable.

Q: How do you find the values of X and Y after elimination?

Substitute the simplified equation into one of the original equations to solve for the variables X and Y.

Summary & Key Takeaways

• Demonstrates solving simultaneous equations using the elimination method by matching coefficients of variables.

• Shows steps to make coefficients match by multiplying equations.

• Explains the process of elimination to solve for variables X and Y.