Question

2.
Q2 A Complete the following activity.
Complete the table to draw the graph of the equation 2x + y = 5.
2.
Y
0
(x, y)
(2, O​

Answer 1

Given :

•Complete the following activity :

•Complete the table to draw the graph of the equation 2x+y=5

To Find :

• To complete the table to draw the graph of the equation 2x+y= 5 =?

Solution :

Let x and y be the values of given equation :

The given value of x=2

•For finding the value of y, substitute the value of x in given equation, we get

$\\ \implies \displaystyle \sf \: 2x + y = 5$

$\\ \implies \displaystyle \sf \: 2(2) + y = 5$

$\\ \implies \displaystyle \sf \: 4 + y = 5$

$\\ \implies \displaystyle \sf \: y = 5 - 4$

$\\ \implies \boxed{\displaystyle \sf{y = 1}}$

The value of y is 1 .

•The first coordinates will be (x, y,) =(2,1)

The given value of y=0

•For finding the value of x, substitute the value of y in given equation, we get

$\\ \implies \displaystyle\sf \: 2x + y = 5$

$\\ \implies \displaystyle \sf \: 2x + 0 = 5$

$\\ \implies \displaystyle \sf \: 2x = 5$

$\\ \implies \boxed{ \displaystyle \sf{x = \frac{5}{2} }}$

$\\ \bullet \underline{\bf{The \: value \: of \: x \: is \: \dfrac{5}{2} }}$

•The second coordinates will be (x, y) =$\tt{\bigg(\dfrac{5}{2},0 \bigg) }$