system of equations (graphing, substitution, elimination)

TL;DR

This video discusses three methods to solve systems of equations: graphing, substitution, and elimination.

Transcript

in this video I will show you the few ways to solve a system of equations and will first focus on the two by two system equations and I will go through all the three methods with this example right here the first method is to graph them and this is what we do grab the first equation and then grab the second equation on the same x and y plane and lo... Read More

Key Insights

• ❓ There are three main methods to solve systems of equations: graphing, substitution, and elimination.
• 😥 Graphing involves finding the point of intersection on the graph of both equations.
• 😑 Substitution involves isolating one variable and replacing it with an expression in terms of the other variable.
• ❓ Elimination involves manipulating the equations to eliminate one variable, resulting in a simplified equation.
• 😄 Each method has its advantages and disadvantages in terms of ease and accuracy.
• 😥 The graphing method may not always yield whole number coordinates for the point of intersection.
• ❓ The elimination method requires finding the least common multiple of the coefficients to eliminate one variable.

Summary & Key Takeaways

• The video outlines three methods to solve systems of equations: graphing, substitution, and elimination.

• The graphing method involves graphing both equations on the same x and y plane and finding the point of intersection.

• The substitution method isolates one variable and substitutes it into the other equation, simplifying the system to one equation with one unknown.

• The elimination method involves manipulating the equations to eliminate one variable, resulting in a simplified equation with one unknown.