Method For Solving Equations in One Variable
Step1 : Simplify both sides by removing group symbols and collect like terms.
Step2 : Remove fractions (or decimals) by multiplying both sides by a suitable factor (L.C.M. of fractions or a power of 10 in case of decimals)
Step3 : Isolate all variable terms on one side and all the constants on the other side. Collect the like terms.
Step4 : Make coefficient of the variable 1.
Examples of Linear Equations Involving Decimals
Solve for x :
(i)y + 1.2y = 4.4 (ii) .15x = x - .85
Represent the solution in each case.
(i) y + 1.2y = 4.4
multiplying the equation by 10
10y + 12y = 44
(10 + 12) y = 44
22y = 44
Dividing both side by 22
y = 2
(ii) .15x = x - .85
Multiplying the equation by 100
15x = 100x – 85
Subtracting both by 15x
15x – 15x = 100x – 15x – 85
0 = 85x – 85
Adding both side by 85
85 = 85x
Now, dividing both side by 85
Then we get , x = 1
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