11 + 2x = 5x +1 in LHS=RHC
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How to Solve Linear Equations?
How to solve linear equations?
Step-by-step instructions are given in the examples of solving linear equations. We will learn how to solve one variable linear equations using addition, subtraction, multiplication and division.
Examples on solving linear equations:
1. Solve the equation 2x - 1 = 14 - x and represent the solution graphically.
Solution:
2x - 1 = 14 - x
⇒ 2x + x = 14 + 1
(Transfer -x from right hand side to the left hand side, then negative x changes to positive x. Similarly again transfer -1 from left hand side to the right hand side, then negative 1 change to positive 1.
and the numbers in the other side.)
⇒ 3x = 15
⇒ 3x/3 = 15/3 (Divide both sides by 3)
⇒ x = 5
Therefore, x = 5 is the solution of the given equation.
The solution may be represented graphically on the number line by graphing linear equations.
graphing linear equations
2. Solve the equation 10x = 5x + 1/2 and represent the solution graphically.
Solution:
10x = 5x + 1/2
⇒ 10x – 5x = 1/2
(Transfer 5x from right hand side to the left hand side, then positive 5x changes to negative 5x).
⇒ 5x = 1/2