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NeX [460]
3 years ago
7

6(1—a) =3(a—b)+1 4(b—2) =3a Consider the system of equations above. If (a, b) is the solution to the system, then what is the

Mathematics
1 answer:
Jet001 [13]3 years ago
5 0
6-6a=3a-3b+1,    9a-3b=5
<span>4b - 8 =3a,           3a-4b=-8
</span> 
9a-3b=5
(3a-4b=-8 )*(-3 )

 
9a    -3b=    5
-9a+12b=+24
adding both equations
9b=29, b=29/9

3a=4b-8=4*29/9 -8=(4*29-8*9)/9 = 44/9
a=44/27
a-b=44/27 - 29/9=44/27 - 29*3/27=-43/27
this is a correct answer, unfortunately they do not have this choice, probably they made mistake somewhere. I even check the solution of equations by substitution values of a and b into equations

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The quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

<h3>What are gallons?</h3>

A gallon is a British unit which is used for the measurement of liquids that is equal to eight pints. In Britain, it is equal to about 4.546 litres. In America, it is equal to about 3.785 litres.

It is given in the question that:-

Richard fills his pool at a rate of 6 gallons per minute.

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After 20 minutes the amount of liquid in the tank will be:-

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