. Solve the following pairs of equations:
(i) 5m – 5n = 12; 2m + 9n = 20
Naveedullah:
m=296/70 and n=-76/35
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5m-5n=12.......(1)
2m+9n=20......(2)
from eq. (1)
5m-5n=12
5m=12+5n
m=12+5n/5........(3)
Now,
By putting the value of m in eq. (2)
2m+9n=20
2(12+5n/5)+9n=20
24+10n/5+9n=20
24+10n+45n/5=20
24+55n=100
55n=100-24
55n=76
n=76/55
now putting the value of n in eq. (3)
m= 12+5n/5
m= 12+76/55/5
m= 660+76/55/5
m=736/55×1/5
m= 736/275 Ans
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