Question

Draw the graph of the equation 2x+3y-12. Find the solutions from the graph
0 Whose y coordinate is 3
1) Whose x-coordinate is - 3​

Answer 1

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

2x+ 3y - 12

2(3)+3y-12

6+3y-12

3y= -12-6

3y = - 18

y = -18/3

( y = - 6 )

2x + 3y - 12

2x + 3(-3)-12

2x -9 -12

2x = - 21

x = -21/2

x = - 10.5