Answer
Verified
410.4k+ views
Hint: In this solution first of all we will open the bracket on the right hand side of the equation and then will move all the terms on the left hand side of the equation. When you move any term from one side to another sign of the term also changes.
Complete step-by-step solution:
Take the given expression: $3x + 6 = 3(x - 5)$
Multiply the term and open the bracket on the right hand side of the equation.
$3x + 6 = 3x - 15$
Move all the terms on the left hand side of the equation from the right hand side of the equation. When you move any term from one side to another then the sign of the term also changes. Positive term becomes negative and negative term becomes positive.
$ \Rightarrow 3x + 6 - 3x + 15 = 0$
Arrange like terms together.
$ \Rightarrow \underline {3x - 3x} + \underline {6 + 15} = 0$
Like terms with equal value and the opposite sign cancel each other, simplify the above equation.
$ \Rightarrow 6 + 15 = 0$
Perform addition –
$ \Rightarrow 21 = 0$
Above equation is not possible
But in actual $21 \ne 0$and so the given equation has no solution.
Note: Always remember that like terms with the same value and opposite sign cancel each other. Remember following rules While doing simplification -
i) Addition of two positive terms gives the positive term
ii) Addition of one negative and positive term, you have to do subtraction and give signs of bigger numbers, whether positive or negative.
iii) Addition of two negative numbers gives a negative number but in actual you have to add both the numbers and give a negative sign to the resultant answer.
Complete step-by-step solution:
Take the given expression: $3x + 6 = 3(x - 5)$
Multiply the term and open the bracket on the right hand side of the equation.
$3x + 6 = 3x - 15$
Move all the terms on the left hand side of the equation from the right hand side of the equation. When you move any term from one side to another then the sign of the term also changes. Positive term becomes negative and negative term becomes positive.
$ \Rightarrow 3x + 6 - 3x + 15 = 0$
Arrange like terms together.
$ \Rightarrow \underline {3x - 3x} + \underline {6 + 15} = 0$
Like terms with equal value and the opposite sign cancel each other, simplify the above equation.
$ \Rightarrow 6 + 15 = 0$
Perform addition –
$ \Rightarrow 21 = 0$
Above equation is not possible
But in actual $21 \ne 0$and so the given equation has no solution.
Note: Always remember that like terms with the same value and opposite sign cancel each other. Remember following rules While doing simplification -
i) Addition of two positive terms gives the positive term
ii) Addition of one negative and positive term, you have to do subtraction and give signs of bigger numbers, whether positive or negative.
iii) Addition of two negative numbers gives a negative number but in actual you have to add both the numbers and give a negative sign to the resultant answer.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Change the following sentences into negative and interrogative class 10 english CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Application to your principal for the character ce class 8 english CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE