Solving Linear Equations With Fractions

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There are many kinds of equations in algebra. Linear equations are the equations where the degree of the variable can be only one.There can be one or more than one variable in a linear equation. A linear equation also consist of coefficients and constants. The numbers can be many numbers in a linear equations including fractions. A fraction is a number which is written in p/q form. Here p,q are integers and the condition is q cannot be equal to zero. Different mathematical operations can be used to simplify and solve a given fraction like addition, subtraction, multiplication and division.

Example 1: Solve the linear equation 5x – 7/2 = 3/2?
Solution: Given equation is 5x – 7/2 = 3/2.
Here the unknown variable which needs to be solved for is x.
Step 1: Add 7/2 on both sides of the equation.
This gives 5x – 7/2 + 7/2 = 3/2 + 7/2; 5x = (3+7)/2; 5x = 10/2.
Divide both sides of the equation by 5; 5x/5 = 10/10
Hence the solution is x = 1.

 
Example 2: Solve the linear equation 7x – 10/3 = 4/3?
Solution: Given equation is 7x – 10/3 = 4/3.
Here the unknown variable which needs to be solved for is x.
Step 1: Add 10/3 on both sides of the equation.
This gives 7x – 10/3 + 10/3 = 4/3 + 10/3; 7x = (14)/3; 7x = 14/3.
Divide both sides of the equation by 7; 7x/7 = 14/21.
Hence the solution is x = 2/3.

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