Question

Linear in two variables
$x- 2y = 26 \: and \: 2x - 5y = 16$
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Answer 1

Hope this helps ……..

Answer 2

Step-by-step explanation:

$x - 2y = 26 - - - (1) \\ 2x - 5y = 16 - - - (2) \\ multiply \: equation \: (1) \: by \: 2 \\ 2x - 4y = 52 - - - (3) \\ subtract \: equation \: (2) \: by \: (3) \\ 2x - 5y = 16 \\ - \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ 2x - 4y = 52 \\ ( - ) \: \: \: \: ( + ) \: \: \: \: ( - ) \: \: \: \: \\ we \: get \\ - y = - 36 \\ y = 36 \\ put \: y = 36 \: in \: equation \: (1) \\ x - 2y = 26 \\ x - 2 \times 36 = 26 \\ x - 72 = 26 \\ x = 26 + 72 \\ x = 98 \\ the \: solution \: of \: given \: equation \: is \: (98 \: and \: 36)$

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