Question

2x - 9y = 9 5x + 2y = 27​

Answer 1

Answer:

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Answer 2

$\huge \sf \green{x = \frac{261}{49} } \\ \huge \sf \orange{y = \frac{9}{49} }$

Step-by-step explanation:

Given -

2x - 9y = 9.....(i)

5x + 2y = 27.....(ii)

.

Solution -

2x - 9y = 9

=> 2x = 9y + 9

$= > \sf x = \frac{9y + 9}{2}$

Now put the value of x in eq. (ii),

$\sf5x + 2y = 27 \\ \\ = > \sf5( \frac{9y + 9}{2} ) + 2y = 27 \\ \\ = > \sf \frac{45y + 45}{2} + 2y = 27 \\ \\ = > \sf \frac{45y + 4y + 45}{2} = 27 \\ \\ = > \sf49y + 45 = 27 \times 2 \\ \\ = > \sf49y = 54 - 45 \\ \\ = > \sf49y = 9 \\ \\ = > \sf \: y = \frac{9}{49}$

Put the value of y in eq. (i),

$\sf2x - 9y = 9 \\ \\ = > \sf2x - 9(\frac{9}{49} ) = 9 \\ \\ = > \sf2x - \frac{81}{49} = 9 \\ \\ = > \sf2x = 9 + \frac{81}{49} \\ \\ = > 2x = \frac{441 + 81}{49} \\ \\ = > 2x = \frac{522}{49} \\ \\ = > x = \frac{522}{49} \div 2 \\ \\ = > x = \frac{261}{49}$

Hence x = 261/49 & y = 9/49

hope it helps.