Question

2p+5q=20 and 5p+6q=37​

Answer 1

Step-by-step explanation:

given equations,

$given \: equations \\ 2p + 5q = 20 \\ and \\ 5p + 6q = 37 \\ mltiplying \: first \: equation \: by \: 5 : \: \\ 10p + 25q = 100 \: \: \: \: \: \: \: (let \: it \: be \: 1 )\: \: \\ mltiplying \: second \: equation \: by \: 2: \\ 10p + 12q = 74\: \: \: \: \: \: (let \: it \: be \: 2) \\ subtracting \: equation \: 2 \: from \: 1 \\ 10p + 25q - 10p - 12q = 100 - 74 \\ 23q = 26 \\ q = \frac{26}{23} \\ substituting \: valueofq \: in \: 1 \\ 10p + 25( \frac{26}{23} ) = 100 \\ p = \frac{100 - 25( \frac{26}{23} )}{10}$

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