Algebra is about finding unknown variables in equations and then solving them
Algebra helps better handle problem involving numbers.
Example
A person given a bag of unknow soaps.
He sold 37 soaps still 10 soaps remained in bag.
Find total soaps.
sol:
x-37=10
x=37+10=47
(or)
x-37=10
Add 37 on both sides to isolate x
37+x-37=10 +37
x=47
Types of algebra:
Linear - Focus on solving linear equations like y=mx+c
Boolean :- Focus on boolean values
Computer :- Focus on algorithms
Relational:- Takes a r/s as input and product a r/s as output.
Linear Equations usage in every day life
Linear equations use one or more variables where one variable is dependent on another.
If there is an unknown quantity it can be represented by a linear equation.
Example: Variable costs
A taxi charges 50 rupees for 5km. Beyond that it charges 25 rupees/km.
You want to go some destination without knowing how many miles?
Represent this as a linear equation?
sol:
Let x be unknow km
y=charge
y=25*x+50
Example2:
A party has limited budget for an upcoming event. If cost of rental space is 50000/- and meals plate is 100 rupees.
Find out total budget for unknow persons coming to event (x) ?
sol:
y=100 x + 50000
