Q. 1 C4.5( 8 Votes )

Let’s solve the equations below:



Answer :

This is an algebraic equation which is univariate as it contains only one variable, that is, x.

We have



We need to solve this equation.


That is, we need to find the value of variable x.


We will use any kind of mathematical operation (addition, subtraction, multiplication or division) in order to find x.


Here, we can simplify the equation by taking L.C.M of the denominators on L.H.S of the equation.


Denominator of = 5


Denominator of = 7


L.C.M (5, 7) = 35


Therefore, multiplying 7 by x and 5 by 2, we get



Now, simplify it as much as possible. Cross multiplying, 35 by x and 10 by (7 × x) + (5 × 2), we get


10 × ((7 × x) + (5 × 2)) = 35 × x


10 × (7x + 10) = 35x


By distributive law, multiply 10 by 7x and by 10.


(10 × 7x) + (10 × 10) = 35x


70x + 100 = 35x


Take x’s on one side and constants on the other. Here, shift 35x on L.H.S (positive sign of 35 will become negative) and 100 on R.H.S (positive sign of 100 will become negative).


70x – 35x = -100


35x = -100


Divide 35 on both sides to leave x idle.




Thus, we have solved the equation and .


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Properties of Rational NumbersProperties of Rational NumbersProperties of Rational Numbers29 mins
Quiz | Properties of Rational NumbersQuiz | Properties of Rational NumbersQuiz | Properties of Rational Numbers41 mins
On the Number lineOn the Number lineOn the Number line44 mins
Essentials of Rational NumbersEssentials of Rational NumbersEssentials of Rational Numbers45 mins
Quiz | Imp Qs. on Properties of Rational NumbersQuiz | Imp Qs. on Properties of Rational NumbersQuiz | Imp Qs. on Properties of Rational Numbers45 mins
Extra Questions on Laws of Rational NumbersExtra Questions on Laws of Rational NumbersExtra Questions on Laws of Rational Numbers40 mins
Quiz | Imp. Qs. on  Rational NumbersQuiz | Imp. Qs. on  Rational NumbersQuiz | Imp. Qs. on Rational Numbers42 mins
Lets Explore the Number Line - Rational NumbersLets Explore the Number Line - Rational NumbersLets Explore the Number Line - Rational Numbers43 mins
Missing NumbersMissing NumbersMissing Numbers55 mins
Squares of NumbersSquares of NumbersSquares of Numbers35 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses