Q. 1 C4.5( 8 Votes )

# Let’s solve the equations below:

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 Numbers29 mins
Quiz | Properties of Rational Numbers41 mins
On the Number line44 mins
Essentials of Rational Numbers45 mins
Quiz | Imp Qs. on Properties of Rational Numbers45 mins
Extra Questions on Laws of Rational Numbers40 mins
Quiz | Imp. Qs. on Rational Numbers42 mins
Lets Explore the Number Line - Rational Numbers43 mins
Missing Numbers55 mins
Squares 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
view all courses