Question

draw the graph of the question 2x-3y=15. from the graph find: (i) the value of y when X=4
(ii) value of x when y=3​

Answer 1

EXPLANATION.

Graph of the equation.

⇒ 2x - 3y = 15.

As we know that,

Put the value of x = 0 in the equation, we get.

⇒ 2(0) - 3y = 15.

⇒ - 3y = 15.

⇒ y = - 5.

Their Co-ordinates = (0,-5).

Put the value of y = 0 in the equation, we get.

⇒ 2x - 3(0) = 15.

⇒ 2x = 15.

⇒ x = 7.5.

Their Co-ordinates = (7.5,0).

To find :

(1) = Value of y when x = 4.

Put the value of x = 4 in the equation, we get.

⇒ 2(4) - 3y = 15.

⇒ 8 - 3y = 15.

⇒ - 3y = 15 - 8.

⇒ - 3y = 7.

⇒ y = - 7/3.

⇒ y = - 2.333.

(2) = Value of x when y = 3.

Put the value of y = 3 in the equation, we get.

⇒ 2x - 3(3) = 15.

⇒ 2x - 9 = 15.

⇒ 2x = 15 + 9.

⇒ 2x = 24.

⇒ x = 12.

Answer 2

Step-by-step explanation:

2x-3y=15

2x=15+3y

Putting x=0

0=15+3y

3y=-15

y=-5

Their co-ordinate =(0,-5)

Putting. y=0

2x=15+0

2x=15

x=7.5

Their co-ordinate=(7.5,0)

(1) Putting x=4

2×4=15+3y

8=15+3y

3y=-7

y=-2.33

(2) Putting y=3

2x=15+3×3

2x=24

x=12