If $(x, y) = (4, 1)$ is the solution of the pair of linear equations $m x + y = 2 x + n y = 5$ , then what is $m + n$ equal to?

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Solution

The correct option is A $- 2$
Put $x = 4, y = 1$
$4 m + 1 = 8 + n = 5$
$\Rightarrow 4 m + 1 = 5; 8 + n = 5$
$\Rightarrow m = 1; n = - 3$
$m + n = 1 + (- 3) = - 2$

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If (x,y)=(4,1) is the solution of the pair of linear equations mx+y=2x+ny=5, then what is m+n equal to?

The correct option is A −2Put x=4,y=14m+1=8+n=5⇒4m+1=5;8+n=5⇒m=1;n=−3m+n=1+(−3)=−2

If $(x, y) = (4, 1)$ is the solution of the pair of linear equations $m x + y = 2 x + n y = 5$ , then what is $m + n$ equal to?

The correct option is A $- 2$
Put $x = 4, y = 1$
$4 m + 1 = 8 + n = 5$
$\Rightarrow 4 m + 1 = 5; 8 + n = 5$
$\Rightarrow m = 1; n = - 3$
$m + n = 1 + (- 3) = - 2$