1/2(x+2y)+ 5/3(3x-2y)=17/42 ,4(x+2y)- 3/5(3x-2y)=41/100

Asked by samridhi arora | 1st 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  | 4th Jul, 2013, 06:42: AM

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