Hi students! In this learn algebra online session we are going to learn about ways to solve linear equations. Linear equations that are given as problems can be of single variable or of double variables.
For solving Linear equation of single variable, we just add, subtract, multiply or divide with the same number in such a way that it ends up with only variable on one side and with the solution on the other side. This method of solving the linear equation is also called “solving linear equations by elimination”. Let us understand it more clearly with an example:
Solve: 2* y + 6 = 10
Now first we eliminate 6 from left hand side. For this, we subtract 6 from both the sides.
We get:
2*y + 6 - 6 = 10 - 6
Or 2* y = 4
Now in next step, we will eliminate 2 from left hand side, so that we are left with y only.
For this we divide both sides of the equation by 2
=> 2*y / 2 = 4 / 2
Or y = 2 is the solution.
Let us take another example:
5*x -10 = 2*x + 20
In first step we will eliminate -10 from left side of the equation.
This will be done by adding 10 on both the sides:
5*x -10 + 10 = 2*x + 20 + 10
or 5* x = 2 * x + 30
Now in second step we will subtract 2x from both the sides. This will help to eliminate 2x form right side of the equation.
We get:
5* x - 2x = 2 * x + 30 - 2x
Or 3x = 30
Now we observe that only 3 is to be removed from LHS, so we divide both sides by 3.
=> 3x/3 = 30 / 3
or x = 10 Ans.
In upcoming posts we will discuss about Elimination Method to Solve Simultaneous Equations and Acute Triangle. Visit our website for information on CBSE computer science syllabus
For solving Linear equation of single variable, we just add, subtract, multiply or divide with the same number in such a way that it ends up with only variable on one side and with the solution on the other side. This method of solving the linear equation is also called “solving linear equations by elimination”. Let us understand it more clearly with an example:
Solve: 2* y + 6 = 10
Now first we eliminate 6 from left hand side. For this, we subtract 6 from both the sides.
We get:
2*y + 6 - 6 = 10 - 6
Or 2* y = 4
Now in next step, we will eliminate 2 from left hand side, so that we are left with y only.
For this we divide both sides of the equation by 2
=> 2*y / 2 = 4 / 2
Or y = 2 is the solution.
Let us take another example:
5*x -10 = 2*x + 20
In first step we will eliminate -10 from left side of the equation.
This will be done by adding 10 on both the sides:
5*x -10 + 10 = 2*x + 20 + 10
or 5* x = 2 * x + 30
Now in second step we will subtract 2x from both the sides. This will help to eliminate 2x form right side of the equation.
We get:
5* x - 2x = 2 * x + 30 - 2x
Or 3x = 30
Now we observe that only 3 is to be removed from LHS, so we divide both sides by 3.
=> 3x/3 = 30 / 3
or x = 10 Ans.
In upcoming posts we will discuss about Elimination Method to Solve Simultaneous Equations and Acute Triangle. Visit our website for information on CBSE computer science syllabus
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