Question

3. Find the value of m-n for the simultaneous equation 19m + 5n =31; 5n +19m - 3​

Answer 1

SOLUTION

CORRECT QUESTION

Find the value of m-n for the simultaneous equation

19m + 5n = 31 ; 5m + 19n = 3

EVALUATION

Here the system of equations are

19m + 5n = 31 - - - - - - (1)

5m + 19n = 3 - - - - - - - (2)

Equation 1 - Equation 2 gives

$\sf \implies \: (19m + 5n) - (5m + 19n) = 31 - 3$

$\sf \implies \: 19m + 5n - 5m - 19n= 28$

$\sf \implies \: 19m - 5m - 19n + 5n= 28$

$\sf \implies \: 14m - 14n = 28$

$\sf \implies \: 14(m - n) = 28$

$\sf \implies \: (m - n) = 2$

FINAL ANSWER

Hence the required value of m - n = 2

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