# CBSE Class 10-Mathematics: Chapter – 3 Pair of Linear Equation in Two Variables Part 1 (For CBSE, ICSE, IAS, NET, NRA 2023)

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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 … .