Solving Equations With Variables On Both Sides Solving Equations With Variables On Both Sides Students in this session we will learn how to solve the Equations with the variables on both sides. This topic seems to be hard but if we know some basics it become quite easier. For Solving Equations with the Variable on Each Side we should remember the following steps 1: first of all if there is any fraction in the equation just removes it by multiplying the whole equation by the denominator. 2: if required use the distributive property 3: keep all the variables on one side of the equation and all the constant on the other side of the equation By following the above steps we can easily Solve Equations with Variables on Both Sides. Let us try to solve some problems on the basis of the equations With the Variable on Each Side with the help of the steps written above.
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Problem 1: Solving Equations with Variables on both Sides x+ 4 =2x - 8 Solution: for Solving Equations with Variables on Both Sides we use the above steps in the equation x+ 4 =2x - 8 As we can see there is no fraction in the given equation therefore we do not need to use step 1 and step 2 .with the help of third step just keep the variable on one side and constant one the other side of the equation so that we get x - 2x = -8 -4 We get
-x = -12
or we can say
x=12
As we can see with the help of the 3 steps written above we can easily Solve Equations with Variables on Both Sides Let us take some more examples to Solving Equations with Variables on Both Sides Example: Solve Equations with Variables on Both Sides 2x/5 – 2 = 6 – 3x/5 Solution: for Solving Equations with the Variable on Each Side of the equation 2x/5 – 2 = 6 – 3x/5 we will use the above steps. As we can see there is the fraction on the equation so by the first step for Solving Equations With Variables On Both Sides multiply the whole equation 2x/5 – 2 = 6 – 3x/5 by 5 so that we get 5 (2x/5 – 2) = 5 (6 – 3x/5) On further solving by the use of distributive property as explain in step 2 we get 2x – 10 = 30 – 3x
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With the help of third step just keep the variable on one side and constant one the other side of the equation so that we get 2x + 3x = 30 + 10 It implies that 5x = 40 or we can say
x=8
By solving the above questions we can easily understand how to solve the equations with variables on both sides. I hope now it will be quite easier for you to solve the equations having variable on both sides. The concept can be seen in Andhra Pradesh Board Computer Science Text Books. The concept of limit in calculus is the range of the values which are provided to a function so that the function can easily be defined in the given range so the function has some value at that point. Limit in calculus is abbreviated as “lim “. For clearing the concept of limit in calculus we will discuss it with help of examples in the next session.
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