Question

0.2x + 0.1y = 25
2(x - 2) - 1.6y = 116​

Answer 1

Final Answer:

$\boxed{\text{x = 100, y = 50}}$

Step-by-step explanation:

Equation 1:

$0.2x + 0.1y = 25\\\\\frac{2}{10}x + \frac{1}{10}y = 25\\ \\2x + y = 250\\\\\boxed{\text{y = 250 - 2x}}$

Equation 2:

$2(x - 2) - 1.6y = 116\\\\2x - 4 - \frac{16y}{10} = 116\\\\2x - \frac{16y}{10} = 120\\\\\frac{20x}{10} - \frac{16y}{10} = 120\\\\20x - 16y = 1200\\\\16y = 20x - 1200\\\\\boxed{\text{4y = 5x - 300}}$

Now, substituting y in eq. 2:

$4(250 - 2x) = 5x - 300\\\\1000 - 8x = 5x - 300\\\\1000 + 300 = 13x\\\\x = \frac{1300}{13}\\\\x = 100\\\\y = 250 - 2x\\\\y = 250 - 200\\\\y = 50\\\\\boxed{\text{Answer: x = 100, y = 50}}$

Hope this helps! If it does, feel free to mark it brainliest! Thanks :D