if 2x+3y =17 and 2x+2-3y+1=5,then y =
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Answer:
y = 45/2
step by step explanation:
2x+3y=17
or, 3y=17-2x
or, y=17-2x ....(i)
3
2x+2-3y+1=5
or, 2x+3-5=3y
or, 2x-2=3y
or, 2x-2 = y....(ii)
3
now, from eqn i and ii
or,17-2x = 2x-2
3 3
or, 3(17-2x) = 3(2x-2)
or, 51 - 6x = 6x - 6
or, 51 + 6 = 6x + 6x
or, 57 = 12x
or, 57/12 = x
or, x = 57/12
Now, putting x = 57/12 in eqn ii,
y=2x-2
3
= 2*57/12 -2
3
= 57/6 - 2
3
= 57-12/6
3
= 45/6
3
= 45 * 3
6
= 45
2
therefore y=45
2
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