Question

if we separate rice the number of girls in a class from Christ the number of boys in the same class we get six express this situation Aisa linear equation in two variables draw graph for the equation​

Answer 1

Let the number of girls be x.

Then, the number of boys = x+8

According to the question,

$\frac{x+8}{x}=\frac{7}{5} </p><p>x</p><p>x+8</p><p> </p><p> = </p><p>5</p><p>7$

$\Rightarrow5\left(x+8\right)=7x⇒5(x+8)=7x</p><p>$

$\Rightarrow5x+40=7x⇒5x+40=7x</p><p>$

$\Rightarrow5x-7x=-40⇒5x−7x=−40</p><p>$

[Transporting 7x to L.H.S and 40 to R.H.S]

$\Rightarrow-2x=-40\Rightarrow\ -\frac{2x}{-2}=-\frac{40}{-2}⇒−2x=−40⇒ − </p><p>−2</p><p>2x</p><p> </p><p> =− </p><p>−2</p><p>40</p><p> </p><p>$

[Dividing both sides by -2]

x = 20

Hence the number of girls = 20 and number of boys = 20 + 8 = 28.

Answer 2

Step-by-step explanation:

Solution :

The linear equation is

x - y = 10

=> y = x - 10

x = 0, 5, 10

y = -10, -5, 0