Question

Draw the graph of 2x+3y=7​

Answer 1

2x+3y=7
x= 7-3(y)/2

|x|-7|14|
|y|7 |-7|

Points are (-7,7) and (14,-7)

Answer 2

Answer:

Graph for the given equation is in attachment.

Step-by-step explanation:

Given:

Linear equation → 2x + 3y = 7

Concept used:

To draw a graph of the linear equation, substitute values for y and calculate values for x or vice-versa.

Solution:

2x + 3y = 7

Case 1: When y = 1

2x + 3(1) = 7

⇒ 2x + 3 = 7

⇒ 2x = 4

⇒ x = 2

So our co-ordinate would be (2, 1)

Case 2: When y = 2

2x + 3(2) = 7

⇒ 2x + 6 = 7

⇒ 2x = 1

⇒ x = ½ = 0.5

So, our second co-ordinate would be (0.5, 2)

Case 3: When y = 3

2x + 3(3) = 7

⇒ 2x + 9 = 7

⇒ 2x = -2

⇒ x = -1

So, our third coordinate would be (-1, 3)

Now plot the graph taking these co-ordinates.