CBSE Class 10 Answered
1/2(x+2y)+ 5/3(3x-2y)=17/42 ,4(x+2y)- 3/5(3x-2y)=41/100
Asked by samridhi arora | 01 Jul, 2013, 05:27: PM
Expert Answer
Let x + 2y = u and 3x-2y = v
So, the equations would become
1/2u+5/3v =17/42 and 4u- 3/5v=41/100
Taking LCM
3u + 10v = 17/7 and 20u - 3v = 41/20
Multiplying the first equation by 20 and second by 3
60u + 200v = 340/7 and 60u -9v = 123/20
now subtracting the 2 equations
200v - (-9v) = 340/7 - 123/20
209v = 42.42
v = 0.203
u = [17/7 - 10(0.203)]/3 = 0.133
Now, x + 2y = 0.133 and 3x-2y = 0.203
Adding the 2 equations
4x = 0.336
x = 0.084
and 2y = 0.133-0.084 = 0.049
y = 0.0245
Answered by | 04 Jul, 2013, 06:42: AM
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