<em>y</em> - 1/<em>z</em> = 1 ==> <em>y</em> = 1 + 1/<em>z</em>
<em>z</em> - 1/<em>x</em> = 1 ==> <em>z</em> = 1 + 1/<em>x</em>
==> <em>y</em> = 1 + 1/(1 + 1/<em>x</em>) = 1 + <em>x</em>/(<em>x</em> + 1) = (2<em>x</em> + 1)/(<em>x</em> + 1)
<em>x</em> - 1/<em>y</em> = <em>x</em> - (<em>x</em> + 1)/(2<em>x</em> + 1) = (2<em>x</em> ² - 1)/(2<em>x</em> + 1) = 1
==> 2<em>x</em> ² - 1 = 2<em>x</em> + 1
==> 2<em>x</em> ² - 2<em>x</em> - 2 = 0
==> <em>x</em> ² - <em>x</em> - 1 = 0
==> <em>x</em> = (1 ± √5)/2
If you start solving for <em>z</em>, then for <em>x</em>, then for <em>y</em>, you would get the same equation as above (with <em>y</em> in place of <em>x</em>), and the same thing happens if you solve for <em>x</em>, then <em>y</em>, then <em>z</em>. So it turns out that <em>x</em> = <em>y</em> = <em>z</em>.
Answer:
D
Step-by-step explanation:
observe, grouping by gcd not 1
28r² + 35ry – 4xr – 5xy
= 28r² – 4xr + 35ry – 5xy
= 4r(7r – x) + 5y(7r –x)
= (4r + 5y)(7r – x)
Answer:
Step-by-step explanation:
Using the rule of exponents
× 
= 
, then
× 
= 
=
The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
a) 23 + (-16) + 42 * 5 - (-3)
= 23 - 16 + 210 + 3 = 220
b) -6(12 - 15) + 23
= -6(-3) + 23 = 18 + 23
= 41
c) -50 + (-10) + (5 - 3)4
= -50 - 10 + 2(4) = -50 - 10 + 8
= -52
d) -4.5 (-0.53) + (-1)
= 2.385 - 1
= 1.385
e) 5 - 2 + 8
= 3 + 8
= 11
The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11
Find out more on equation at: brainly.com/question/2972832
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Answer:
91/60
1.516
1 31/60
Step-by-step explanation:
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