Question

ractice Set 1.4
1. Solve the following simultaneous equations.
(1) 2/X-3/Y=15;8/X-5/Y=77​

Answer 1

Answer:

x=7/17

y=7/78

Step-by-step explanation:

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2(1/x)-3(1/y)=15

8(1/x)-5(1/y)=77

Let, 1/x = m and 1/y = n

hence,

2m-3n=15.....................(1)

8m-5n=77.....................(2)

In equation (1),

m=(15+3n)/2

Substitute value in equation (2)

hence

8[(15+3n)/2]-5n=77

4(15+3n)-5n=77

60+12n-5n=77

7n=17

n=17/7.....................[Substitute in equation (1) ]

hence,

2m-3(17/7) = 15

2m-51/7 = 15

2m=15+51/7

2m=(105+51)/7

m=156/(7×2)

m=78/7

We have taken 1/x = m. and 1/y = n

hence,

17/7=1/x

x=7/17

78/7=1/y

y=7/78