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# Solve the following pair of linear equations by the substitution method. (i) x + y = 14 x - y = 4

Q1.    Solve the following pair of linear equations by the substitution method.

(i)    $\\x + y = 14\\ x - y = 4$

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Given, two equations,

$\\x + y = 14.......(1)\\ x - y = 4........(2)$

Now, from (1), we have

$y=14-x........(3)$

Substituting this in (2), we get

$x-(14-x)=4$

$\Rightarrow x-14+x=4$

$\Rightarrow 2x=4+14=18$

$\Rightarrow x=9$

Substituting this value of x in (3)

$\Rightarrow y=14-x=14-9=5$

Hence, Solution of the given equations is x = 9 and y = 5.

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