Hi friends!
Linear equation is an equation that has many variables. A pair of equations with same variables is said to form a system of simultaneous linear equations. Linear equation can have two or more variables. In this section, we shall be discussing two step of linear equations in solving simple problems from different areas.
If a and b are two real numbers such that b is not 0 and a is a variable, then we have learnt that an equation of the form ax+b=0 is called linear equation of single (one) variable, where a and b are real numbers and x is a variable.
In linear equation of single (one) variables, we can have solution within two steps. There are many types of properties:-addition, subtraction, multiplication and division.
We take some addition and subtraction examples to solve the linear equation of single variable.
Example 1:- Solve equation a-b=c with addition properties of linear equation of single variable. Solve this equation for a, where b=2 and c=3.
Solution:-
Step 1:- a-2=3 (we can add 2 both side of equation. a-2+2=3+2 .now L.H.S part is a and R.H.S part is 5.
step 2:-a=5.
thus, b=2 and c=3 satisfy both the equation of the given system.
Hence, b=2 and c=3 is a solution of the given system.
Example 2:- Solve equation a+b=c with subtraction properties of linear equation of single (one) variables. Solve this equation for a. where b=2and c=5.
Solution:-
Step 1:- a+2=5 (we can subtract 2 both side of equation. a-2+2=5-2 .now L.H.S part is a and R.H.S part is 3.
Step 2:-a=3
Thus, b=2 and c=5 satisfy both the equations of the given system.
Hence, b=2 and c=5 is a solution of the given system.
In the next topic we are going to discuss Solving inequalities by addition and subtractions of linear equations.
Linear equation is an equation that has many variables. A pair of equations with same variables is said to form a system of simultaneous linear equations. Linear equation can have two or more variables. In this section, we shall be discussing two step of linear equations in solving simple problems from different areas.
If a and b are two real numbers such that b is not 0 and a is a variable, then we have learnt that an equation of the form ax+b=0 is called linear equation of single (one) variable, where a and b are real numbers and x is a variable.
In linear equation of single (one) variables, we can have solution within two steps. There are many types of properties:-addition, subtraction, multiplication and division.
We take some addition and subtraction examples to solve the linear equation of single variable.
Example 1:- Solve equation a-b=c with addition properties of linear equation of single variable. Solve this equation for a, where b=2 and c=3.
Solution:-
Step 1:- a-2=3 (we can add 2 both side of equation. a-2+2=3+2 .now L.H.S part is a and R.H.S part is 5.
step 2:-a=5.
thus, b=2 and c=3 satisfy both the equation of the given system.
Hence, b=2 and c=3 is a solution of the given system.
Example 2:- Solve equation a+b=c with subtraction properties of linear equation of single (one) variables. Solve this equation for a. where b=2and c=5.
Solution:-
Step 1:- a+2=5 (we can subtract 2 both side of equation. a-2+2=5-2 .now L.H.S part is a and R.H.S part is 3.
Step 2:-a=3
Thus, b=2 and c=5 satisfy both the equations of the given system.
Hence, b=2 and c=5 is a solution of the given system.
In the next topic we are going to discuss Solving inequalities by addition and subtractions of linear equations.
Very nice blog.I like the math skills which you have mentioned.I can't understand why kids hate math.It's such a interesting subject.If they have any problem in it then they can understand it with help of online tutoring.
ReplyDeletecbse class 11 syllabus