2/x+3/y=13;5x-4y=-2 equation
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Step-by-step explanation:
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Step-by-step explanation:
2/x+3y=13 ; 5/x-4/y = -2
2/x+3y=13.....(2)
5/x-4/y = -2.....( 1)
Let 1/x = m & 1/y = n
Therefore equation (1)&(2) becomes
2m+3n=13......(3)
5m-4n =-2......(4)
Multiply by 5 on equation (3)
Multiply by 2 on equation (4)
Therefore equation (3)&(4) becomes
10m+15m=65.....(5)
10m-8n=-4..........(6)
Let (6) substract from (5)
10m+15m=65
-
10m +8n = 4.
23n = 69
n= 69÷23
n = 3
Substitute value of 'n' in equation (3)
2m+3n=13
2m+ 3×3 = 13
2m + 9 = 13
2m = 13-9
2m =4
m = 2
m=2,n=3
But 1/x = m & 1/y = n
1/x = m ; 1/y=n
1/x = 2. ; 1/y=3
x=1/2 ; y=1/3
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