Question

To draw the graph of 2x + 3y = 12, find x, when y = 6 and find y, when x = 3. Write in ordered pair.​

Answer 1

Answer:

Solution

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2x+3y=12⋯(1)

To draw the graph ,we need at least two solutions of the equation

Put x=0 in (1)

2(0)+3y=12

⟹3y=12

⟹y=4

So (0,4) is a solution of the equation

Put y=0 in (1)

2x+3(0)=12

⟹2x=12

⟹x=6

So (6,0) is a solution of the equation

With these two equations we can draw graph of 2x+3y=12

from the graph

(i) when y=3 then x=1.5

So, point is (1.5,3)

(ii) when x=−3 then y=6

So, point is (−3,6)

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Answer 2

Given :-

2x + 3y = 12

To Find :-

Graph, x and y

Solution :-

When y = 6

2x + 3y = 12

2x + 3(6) = 12

2x + 18 = 12

2x = 12 - 18

2x = -6

x = -6/2

x = -3

Co-ordinate = (-3,0)

When x = 3

2(3) + 3y = 12

6 + 3y = 12

3y = 12 - 6

3y = 6

y = 6/3

y = 2

Intersection point = (0,4)