2) Solve by elimination method :
x/10 + y/5 = 1
x/8 + y/6 = 15
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Answer:
X/10+y/5+1=15
or, x/10+y/5=15-1
or, (x+2y)/10=14
or, x+2y=140 ---------------------------(1)
x/8+y/6=15
or, (3x+4y)/24=15
or, 3x+4y=360 -------------------------(2)
Multiplying (1) with 3 and (2) with 1 we get,
3x+6y=420 -----------------------------(3)
3x+4y=360 -----------------------------(4)
Subtracting (4) from (3),
2y=60
or, y=30
Putting in (1),
x+2×30=140
or, x=140-60
or, x=80
∴, The required solution is : x=80, y=30
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