1.

Solve 2x + 13y = 11 and 2x – 4y = – 17 and hence find the value of ‘m’ for which , y = mx + 3.

Answer»

Answer:

Given data

         2 x -4 y = -24 y            ...1)

         2 x = -24 y + 4 y

         2 x = - 20 y

         x = - 10 y                      ... 2)

Now come to second equation

        2 x + 3 y = 11          (Put value x in term of y)

        2 (-10 y) + 3 y = 11

        -20 y + 3 y = 11

        -17 y = 11

         So ,

y \: = - \frac{11}{17} \: \:

....3

\: x \: = - 10 \times ( - \frac{11}{17}) = \frac{110}{17}

.....4

- \frac{11}{17} = m( \frac{110}{17} ) \: + 3 \\ m ( \frac{110}{17}) = - 3 - \frac{11}{17} \\ \\ m( \frac{110}{17} = - \frac{62}{17} \\ \\ m = - \frac{62}{17} \times \frac{17}{110} = - \frac{62}{110} = - \frac{31}{55}

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