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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
Asked by muttenenimalleswarrao | 29 Mar, 2024, 08:32: PM

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 ;

Answered by Thiyagarajan K | 30 Mar, 2024, 04:19: PM

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