What is a system of equations?
There is a simple explanation.
It’s a finite set of equations.
Intersecting some sort of way.
Method one is substitution.
Take one look at an equation.
And solve for a variable
Such as y in terms of x.
Plug in the variable’s value.
Into another equation.
Simplify for a numeric.
Or plug in some more unknowns.
What is a system of equations?
There is a simple explanation.
It’s a finite set of equations.
Intersecting some sort of way.
Method two is elimination.
Line up unknowns for all equations.
Multiply an unknown
By a common coefficient.
Cancel out a common unknown.
By making them have opposite signs.
Combine like terms all together.
Now you have a new value.
Re-plug in this value to find other unknowns.
What is a system of equations?
There is a simple explanation.
It’s a finite set of equations.
Intersecting some sort of way.
Method three works by using graphing.
Draw all graphs of the set equations.
Look for where they all intersect
Those are all the common solutions.
Now you know all the different methods.
But watch out for these common pitfalls.
They may give you a wrong answer.
So make sure to avoid these mistakes.
Sometimes there is no common solution.
When graphs do not intersect at all.
And when using a common method
Result in a false statement.
To make sure a value is possible.
Plug solved values into equations.
And make sure it works without fail.
Otherwise it is extraneous.
Credits:
Song by Karina Varughese
Vocals and Video Editing by Swetha Tandri