# Solutions of the equation 2(x-1)+3(y+2)=1

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I think this question is incomplete.... give one more equation to solve it
its complete i want 4 solutions of it for drawing the graph
this is incomplete.give an another equation.then only it will be easy
my teacher has not told anything about it

2015-04-06T19:19:29+05:30

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you have given one equation and there are two variables x and y.

2(x-1) + 3(y-2) = 1            or  2 x + 3y = 9
or  x/4.5 + y /3 = 1          or    y = 3 - 2/3 x

It is a straight line on the graph with x intercept  as 4.5 units and y intercept being 3 units.

rewrite it as :    y = 3 - 2/3 x
there are infinite number of solutions,  if  x ∈ (-∞,  ∞).  As for each real value of x , there is a real value of y , as above.

Solutions are in the form of couples: or coordinates:  (x ,  3 - 2 x / 3 ),  x∈ R