Question

Detine discount and explain the
तुलनात्मक विधि से हल कीजिए:
Solve by comparison method:
3x-59 = 11; 4x +5y%3D3.​

Answer 1

SOLUTION

TO SOLVE

By comparison method

3x - 5y = 11 , 4x + 5y = 3

EVALUATION

Here the given equations are

3x - 5y = 11 - - - - - - (1)

4x + 5y = 3 - - - - - - (2)

From Equation 1 we get

$\displaystyle \sf{5y = 3x - 11}$

$\displaystyle \sf{ \implies \: y = \frac{3x - 11}{5} } \: \: \: - - - (3)$

From Equation 2 we get

$\displaystyle \sf{5y = 3 - 4x }$

$\displaystyle \sf{ \implies \: y = \frac{3 - 4x }{5} } \: \: - - - - (4)$

Comparing the values of y from Equation 3 and Equation 4 we get

$\displaystyle \sf{ \frac{3x - 11}{5} = \frac{3 - 4x }{5} }$

$\displaystyle \sf{ \implies 3x - 11= 3 - 4x }$

$\displaystyle \sf{ \implies 3x + 4x = 11 + 3 }$

$\displaystyle \sf{ \implies 7x = 14 }$

$\displaystyle \sf{ \implies x = 2 }$

From Equation 3 we get

$\displaystyle \sf{ \: y = \frac{(3 \times 2) - 11}{5} }$

$\displaystyle \sf{ \implies \: y = \frac{6 - 11}{5} }$

$\displaystyle \sf{ \implies \: y = \frac{ - 5}{5} }$

$\displaystyle \sf{ \implies \: y = - 1}$

FINAL ANSWER

Hence the required solution x = 2 , y = - 1

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