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Solve the following pair of linear equations by the substitution method. (iii) 3x - y = 3 9x - 3y = 9

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

                (iii)    \\ 3 x - y = 3\\ 9x - 3y = 9

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Given, two equations,

\\ 3 x - y = 3......(1)\\ 9x - 3y = 9.....(2)

Now, from (1), we have 

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

Substituting this in (2), we get 

9x-3(3x-3)=9

\Rightarrow 9x-9x+9=9

\Rightarrow 9=9

This is always true, and hence this pair of the equation has infinite solutions.

As we have

  y=3x-3,

One of many possible solutions is x=1,\:and\:y=0.

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