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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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