**Question 1. Form the pair of linear equations in the following problems, and find their solutions graphically.**

(i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.

Solution: Let number of boys = x

Number of girls = y

Given that total number of student is 10 so that

x + y = 10

Subtract y both side we get

x = 10 – y

Plug y = 0 , 5, 10 we get

X = 10 – 0 = 10

X = 10 – 5 = 5

X = 10 – 10 = 0

Given that If the number of girls is 4 more than the number of boys

So that

y = x + 4

Plug x = -4, 0, 4, and we get

Y = - 4 + 4 = 0

Y = 0 + 4 = 4

Y = 4 + 4 = 8

**So number of boys = 3 and number of girls = 7 **