Question

25x+17y=109
17x+25y=101
What is the value of 'x' and 'y'?

Answer 1

Step-by-step explanation:

$25x + 17y = 109 - - \times 17\\ 17x + 25y = 101 - - \times 25 \\ 425x + 289y = 1853 \\ 425x + 625y = 2525 \\ - \: \: \: \: \: - \: \: \: \: \: \: \: \: \: \: \: \: \: - \: \: \\ 289y - 625y = 1853 - 2525 \\ - 336y = - 672 \\ y = \frac{672}{336} = 2 \\ \\ 25x + (17 \times 2) = 109 \\ 25x = 109 - 34 \\ 25x = 75 \\ x = \frac{75}{25} = 3 \\ hence \: \: \: \: x = 3 \\ y = 2$