# CBSE Class 10-Mathematics: Chapter –3 Pair of Linear Equation in Two Variables Part 1

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## Like the Crest of a Peacock So is Mathematics at the Head of All Knowledge

**Questions 1:**

At a certain time in a deer park, the number of heads and the number of legs of deer and human visitors were counted, and it was found there were heads & 132 legs. Find the number of deer and human visitors in the park.

**Answer:**

Let the no. of deer’s be

And no. of humans be y

ASQ:

Multiply (1) and (2)

On solving, we get …

**Question 2:**

Solve for

(a)

**Answer:**

On solving, we will get….

On solving, we will get…

(b)

**Answer:**

Form (1)

On solving we will get…

From (2)

On solving we will get…

Substitute this, to get and

**(c)**

**Answer:**

We get

Solve this, to get

Similarly, we can solve for

**d.**

**Answer:**

On solving, we get …

**(e).**

**Answer:**

Let be a and be b

On solving, we get….

From (1)

**(f) If**

**Answer:**

On dividing by , we get

**(g)**

**Answer:**

And the two equations:

Solve it, to get…

Subtract:

Solve it, to get…

From (1) and (2)

On solving we get ….