5m-3n=19 m-6n=-7 show in elimination method
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5m−3n=19 ↪ (I)
m−6n=−7 ↪ (II)
Multiplying (I) with 2 we get
10m−6n=38 ↪ (III)
Subtracting (II) from (III) wqe get
10m−m−6n−(−6n)=38−(−7)
⇒9m=45
⇒m= 45/9
=5
Putting the value of m=5 in (II) we get
5−6n=−7
⇒−6n=−7−5
⇒−6n=−12
⇒n= -12/-6
=2
Thus, (m,n)=(5,2).
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