What is a equivalent expression for 2/8 - 1/5 times x?
1 answer:
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Answer:
Step-by-step explanation:
if the triangles are similar then their sides are in proportion ( or you can think that they make equivalent fractions like 2/3 = 4/6 )
44/ (x+2) = 20/7 = 3x+1 /5 ( all of those are equivalent fractions)
use that is the same as a*d = b*c
is the same as 20(x+2) = 7*44
20x +40 = 308; subtract 40 from both sides
20x = 268; divide by 20 both sides
x= 13.4
Answer: C) x = 3, (x = 2 is an extraneous solution)
<u>Step-by-step explanation:</u>
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Restrictions: <em>Denominator cannot equal zero</em> (x - 1 ≠ 0) and (x - 2 ≠ 0), so x ≠ 1 and x ≠ 2
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x(x - 2) - 1(x - 1) = 2x - 5
x² - 2x - x + 1 = 2x - 5
x² - 3x + 1 = 2x - 5
<u> -2x + 5</u> <u>-2x + 5 </u>
x² - 5x + 6 = 0
(x - 2)(x - 3) = 0
x - 2 = 0 x - 3 = 0
x = 2 x = 3
NOTE: x = 2 is an extraneous solution because it is one of the restricted values.