Question

Which of the following is the solution of the simultaneous equations 5m - n = 3 and -m + 5n = 9? (A) (2, 1) (B) (3. 2) (C) (2, 3) (D) (1, 2)​

Answer 1

Answer:

option (D)-(1,2) is correct

Step-by-step explanation:

5m-n=3 ----(i)

-m+5n=9 ----(ii)

multiplying equation (i) by 5 and add (i) and (ii)

⇒ m=1

keeping value of m in (i)

∴ n=2

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Answer 2

The given question is

$5m-n=3\\-m+5n=9$

from $5m-n=3$ we have$n=5m-3$

substitute $n in -m+5n=9$

$-m+5(5m-3)=9\\-m+25m-15=9\\-m+25m=15+9\\24m=24\\m=\frac{24}{24}\\ m=1.\\substitute m=1 in 5m-n=3\\5(1)-n=3.\\5-n=3\\5-3=n\\2=n$

Therefore the final answer is (1,2)

which is D

m=1,n=2

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