2x + 3y =
(a-b) x + (a+b) y =3a+b-2
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Answer:
2x + 3y =
(a-b) x + (a+b) y = 3a+b-2
a - b = 2 ..............(i)
a + b = 3 .............(ii)
adding (i) and (ii)
a - b = 2
a + b = 3
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2a = 5
a = 5/2
a + b = 3
5/2 + b = 3
5+2b/2 = 3
5 + 2b = 6
2b = 1
b = 1/2
(a-b) x +(a+b) y = 3a + b -2
2x + 3y = 3a + b - 2
2x + 3y = 3×5/2 + 1/2 -2
2x + 3y = 15/2 +1/2 -2
2x + 3y = 15+1+-4/2
2x + 3y = 12/2
2x + 3y = 6
Hence the value of 2x + 3y = 6.
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