Question

in a class number of girls is x and that of boys is y. also the numer of girls is 10 more than the number of boys write the give data in the form of linear equation in two variable also represent s it graphically find graphically the number of girls if the number of boys is20.

Answer 1

number of girls is 30 when no of boys is 10

Answer 2

$\huge\mathfrak\red{Answer :}$


According to question we have given that;

In a class number of girls = x 

And number of boys = y

If girls (x) are 10 more than boys (y) 

Then;

x - y = 10 .... (1)

or y = x - 10

We have to write the given date in tabular form...

Now, if x = 0

then,

y = 0 - 10

y = - 10

If x = 10 then;

y = 10 - 10

y = 0

If x = 5 then;

y = 5 - 10

y = - 5

And if x = -5 then;

y = - 5 - 10

y = - 15.

Now, the aquired data is...

x = 0, y = - 10
x = 10, y = 0
x = 5, y = - 5
x = -5, y = -15

[It's graph I in Attachment !!]

Also we have given that...

Number of boys = 20

So, number of girls.... = ?

Put the number of boys in eq. (1)

x - 20 = 10

x = 10 + 20

x = 30

Number of boys = 20 

AND

Number of girls = 30 

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