Question

maths
$2x + 5y = 9 and 5x - 2y = 9$
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Answer 1

Answer:

2x+5y=9 (1)×5

5x-2y=9 (2)×2

Eliminating x in the equation (1) and (2):-

10x+25y=45 (3)

10x-4y=18 (4)

(-) (+) (-)

29y=27

$y = \frac{27}{29}$

Substituting y=27/29 in (1)

2x+5y=9

$2x + 5( \frac{27}{29} ) = 9$

$2x + \frac{135}{29} = 9$

58x+135=261

58x=126

$x = \frac{126}{58}$

$x = \frac{63}{29}$

I also checked the answer by substituting and the answer can right.

Hence,

$x = \frac{63}{29}$

$y = \frac{27}{29}$