solve these algebraic proportions! SHOW WORK.?

3/x=x+1/4

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x+3/x+5=x-3/-5

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t-2/t=2/t+3

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2x-3/4x=x-1/x

hayharbr2010-05-11T17:26:06Z

Cross multiply them. Like on the first, 3•4 = x • (x + 1)
12 = x^2 + x
0 = x^2 + x - 12
0 = (x + 4)(x - 3)
so x = -4 or x = 3

Be sure to check the answers to be sure they work in the original, and don't cause a denominator to equal zero (if that happens, disregard that answer).

weldin2017-01-10T00:41:06Z

permit C = style of pounds of cashews and P = style of pounds of peanuts C + P = 32 5C + a million.5P = 4(32) (that's the finished fee of the 32 pounds) so multiply the 1st equation with the help of 5: 5C + 5P = one hundred sixty 5C +a million.5P = 128 subtract: 3.5P = 40 8 P = 40 8/3.5 = thirteen 5/7 lbs C = 32 - thirteen 5/7 = 18 2/7 lbs