Question

If x=2-a and y=2+a is a solution of the equation 3x-2y+6=0 find the value of a.find three more solutions of the resultant equation

Answer 1

Given,
x=2-a,y=2+a
the given equation,3x-2y+6=0
3(2-a)-2(2+a)+6=0
6-3a-4-2a+6=0
8-5a=0
-5a=-8
a=8÷5

Let x=0
3×0-2y+6=0
-2y=-6
y=3
Threfore,x=0,y=3 is a solution

Let y=0
3x-2×0+6=0
3x+6=0
3x=-6
x=-2
Therefore x=-2,y=0 is another solution.
Let x=1
3×1-2y+6=0
3-2y+6=0
9-2y=0
-2y=-9
y=4.5
Therefore x=1,y=4.5 is an another solution

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