SOLUTION: what is the correct way to write the soultion: 4x + 5y=10, 8x +10y=20

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Question 205363: what is the correct way to write the soultion: 4x + 5y=10, 8x +10y=20
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
because the 1st equation and the 2nd equation actually is the same (the 2nd equation is twice the 1st equation),
let x = any real number k
4x + 5y = 10
4k + 5y = 10
5y = 10 - 4k
y = %2810-4k%29%2F5
y = 2+-+%284%2F5%29k

so, the solution is:
x = k
y = 2+-+%284%2F5%29k
which k is any real number