# CBSE Class 10 Answered

**from the pair of linear equations in the following problems and find their solution graphically 10 students of class 10 to part in a mathematic quiz if the number of girls is for more than the number of boys find the number of boys and girls who took part in the quiz**

Let y be number of girls and x be number of boys .

Number of girls is given in y-axis and number of boys is in x-axis.

If total number of students is 10 , then corresponding equation is " x + y = 10 " as given by red line.

Number of girls equal to number of boys is represented by equation y = x as given by dashed line .

In the region above dashed line , we have y > x , i.e. number of girls greater than number of boys

In the region below dashed line , we have y < x , i.e. number of girls lesser than number of boys

It is given that number of girl students participation is greater than number of boys students in mathematics quiz .

Hence possible solution for above codition is given by the points A, B, C and D

on the line x+y =10 and above the dashed line y = x .

Point A gives 9 girls and 1 boy ;

Point B gives 8 girls and 2 boys ;

Point C gives 7 girls and 3 boys ;

Point D gives 6 girls and 4 boys ;