Introduction :
An equation which has only one variable and its degree (power) is 1 called a simple equation. A linear equation with only one variable is of the form ax + b=0. A linear equation includes two variables is in the formation of ax +by +c =0. Here the variables x and y,and the constants are a,b,c. When two variables in the linear equations are satisfied by the same pair of values of the variables, the equations are called simultaneous linear equations.
Methods of solving simultaneous linear equations:
(a) Substitution method
(b) Elimination method
I like to share this Solving Linear Equations and Inequalities with you all through my article.
Steps for Solving the Simultaneous Linear Equation
Substitution method:
This involves the following steps,
1: Simplify the equations.
2: Solve one equation for any variable.
3: Substitute what you get for step 2 into the next equation.
4: Solve for the next variable.
Example for solving simultaneous Linear equation by using Substitution method:
2x+3y= -4 ------------(1)
y=x-3
Solution:
Plug y= x-3 in equation 1
2x+3y= -4
2x+3(x-3)= -4
2x+3x-9= -4
5x-9= -4
5x=-4+9
5x=5
x=5/5
x=1
Plug in x=1 in y=x-3
y=x-3
y=1-3
y= -2
Algebra is widely used in day to day activities watch out for my forthcoming posts on online algebra help and factoring algebraic expressions. I am sure they will be helpful.
Elimination Method for Solving Simultaneous Linear Equation:
The second method for Solving simultaneous equation is Elimination method. It is also known as either addition or subtraction method. It is the concept of eliminating any one of the variable in the given equation either by adding or subtracting the equations.
In other words solving the simultaneous equation by making the co-efficient of any one of the variables in both equations has the same value. After adding or subtracting those two equations to form a new equation contains only one variable that is known as the eliminating the variable.
Example:
x+2y=3
2x+3y=4
Solution:
x + 2y = 3 ---------------------------------(1)
2x + 3y = 4 ---------------------------------(2)
Subtracting equation 2 from equation 1.
(1)*(2)=> 2x + 4y = 6
(2)*(1)=> 2x+ 3y = 4
----------------------------------------------------------
y = 2
Now plug in y=2 in equation (1)
x+2y=3
x+2(2)=3
x+4=3
x=3-4
x=-1
An equation which has only one variable and its degree (power) is 1 called a simple equation. A linear equation with only one variable is of the form ax + b=0. A linear equation includes two variables is in the formation of ax +by +c =0. Here the variables x and y,and the constants are a,b,c. When two variables in the linear equations are satisfied by the same pair of values of the variables, the equations are called simultaneous linear equations.
Methods of solving simultaneous linear equations:
(a) Substitution method
(b) Elimination method
I like to share this Solving Linear Equations and Inequalities with you all through my article.
Steps for Solving the Simultaneous Linear Equation
Substitution method:
This involves the following steps,
1: Simplify the equations.
2: Solve one equation for any variable.
3: Substitute what you get for step 2 into the next equation.
4: Solve for the next variable.
Example for solving simultaneous Linear equation by using Substitution method:
2x+3y= -4 ------------(1)
y=x-3
Solution:
Plug y= x-3 in equation 1
2x+3y= -4
2x+3(x-3)= -4
2x+3x-9= -4
5x-9= -4
5x=-4+9
5x=5
x=5/5
x=1
Plug in x=1 in y=x-3
y=x-3
y=1-3
y= -2
Algebra is widely used in day to day activities watch out for my forthcoming posts on online algebra help and factoring algebraic expressions. I am sure they will be helpful.
Elimination Method for Solving Simultaneous Linear Equation:
The second method for Solving simultaneous equation is Elimination method. It is also known as either addition or subtraction method. It is the concept of eliminating any one of the variable in the given equation either by adding or subtracting the equations.
In other words solving the simultaneous equation by making the co-efficient of any one of the variables in both equations has the same value. After adding or subtracting those two equations to form a new equation contains only one variable that is known as the eliminating the variable.
Example:
x+2y=3
2x+3y=4
Solution:
x + 2y = 3 ---------------------------------(1)
2x + 3y = 4 ---------------------------------(2)
Subtracting equation 2 from equation 1.
(1)*(2)=> 2x + 4y = 6
(2)*(1)=> 2x+ 3y = 4
----------------------------------------------------------
y = 2
Now plug in y=2 in equation (1)
x+2y=3
x+2(2)=3
x+4=3
x=3-4
x=-1
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