Question

The solution of the system of linear equations m-n=3,m/3+n/2 =6 is

Answer 1

The solution of the system of linear equations is m=9 and n=6.

Step-by-step explanation:

The given system of linear equations

$m-n=3$                .... (1)

$\frac{m}{3}+\frac{n}{2}=6$        ... (2)

Using (1) we get

$m=3+n$        ... (3)

Substitute the value of m from equation (1) in equation (2)

$\frac{3+n}{3}+\frac{n}{2}=6$

$\frac{2(3+n)+3n}{6}=6$

$\frac{6+2n+3n}{6}=6$

Multiply both sides by 6.

$6+5n=36$

Subtract 6 from both sides.

$5n=36-6$

$5n=30$

Divide both sides by 5.

$n=6$

Substitute n=6 in equation (3).

$m=3+6=9$

Therefore, the solution of the system of linear equations is m=9 and n=6.

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