Question

6m-8n=10; m+3n=19
(Solve using substitution method)​

Answer 1

Step-by-step explanation:

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Answer 2

SOLUTION

TO SOLVE

Using substitution method :

6m - 8n = 10 ; m + 3n = 19

EVALUATION

Here the given system of equations are

6m - 8n = 10 - - - - - - - (1)

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

From Equation (2) we get

m = 19 - 3n - - - - (3)

Substituting the value of m in Equation 1 we get

6(19 - 3n) - 8n = 10

$\sf{ \implies \: 114 -18n - 8n = 10 }$

$\sf{ \implies \: 114 -26n = 10 }$

$\sf{ \implies \: - 26n = 10 - 114}$

$\sf{ \implies \: - 26n = - 104}$

$\sf{ \implies \: 26n = 104}$

$\sf{ \implies \: n = 4}$

Putting the value of n in Equation 3 we get

m = 19 - 3n

$\sf{ \implies \: m = 19 -(3 \times 4) }$

$\sf{ \implies \: m = 19 -12 }$

$\sf{ \implies \: m = 7 }$

Hence the required solution is m = 7 , n = 4

FINAL ANSWER

The required solution is m = 7 , n = 4

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