3x+2y=5 and 2x-3y=8 find x and y
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Given 2x+3y=8 ......... (1)
x+2y=5 ........... (2)
From (1), we have x=
2
8−3y
............ (3)
From (2), we have x=5−2y .......... (4)
Now, comparing the value of x, we get
2
8−3y
=5−2y
or 8−3y=10−4y
or 4y−3y=10−8
or y=2
Using y=2 in (4), x=5−2×2=1.
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