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Solve the following pair of linear equations by the substitution method. (ii) s - t = 3 s / 3 + t / 2 = 6

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

                    (ii)    \\s - t = 3\\ \frac{s}{3} + \frac{t}{2} = 6

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Given, two equations,

\\s - t = 3.........(1)\\ \frac{s}{3} + \frac{t}{2} = 6.......(2)

Now, from (1), we have 

s=t+3........(3)

Substituting this in (2), we get 

\frac{t+3}{3}+\frac{t}{2}=6

\Rightarrow \frac{2t+6+3t}{6}=6

\Rightarrow 5t+6=36

\Rightarrow 5t=30

\Rightarrow t=6

Substituting this value of t in (3)

\Rightarrow s=t+3 = 6+3=9

Hence, Solution of the given equations is s = 9 and t = 6.

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