Question

Draw the graph of the equation 2x + 3y = 12. Find the solution from the graph.
(i) the value of y when x = 4 (ii) the value of x when y=-3.​

Answer 1

Answer:

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Step-by-step explanation:

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)

solution