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wlad13 [49]
3 years ago
13

What is the solution of this system of linear equations? 3y = x + 6 y – x = 3

Mathematics
2 answers:
Arisa [49]3 years ago
8 0
Y = -1/3x -2 this is the correct Answer
Greeley [361]3 years ago
3 0
Hello :
<span>3y = x + 6 ...(1)
y – x = 3...(2)
by (2) : y = x+3...(*)
subsct in (1) :
3(x+3) = x+6
3x-x= -9+6
2x= -3
x=-3/2
subsct in (*) : y =-3/2 +3 =3/2</span>
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6 0
3 years ago
Four machines, each costing $5,700, were purchased for an office. Each machine requires
liubo4ka [24]

The number of months it would take to recover the cost of the machines is 12 months.

<h3> What is the total cost of the machines and the salary of the operators? </h3>

Total cost of the four machines = $5700 x 4 = $22,800

The total salaries of the machine operators in t months = 4t x $1,00 = $4,400t

Total cost = $22,800 +  $4,400t

<h3>What is the amount saved by replacing the 8 clerks in t months? </h3>

($750 x 2t) + ($650 x 3t) + ($950 x 3t)

= $1500t + $1,950t +$2,850t

= $6300t

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$22,800 +  $4,400t  =  $6300t

Combine similar terms

$22,800 = $6300t - $4400t

$22,800 = $1900t

Divide both sides by 1900

t = 12 months

To learn more about division, please check: brainly.com/question/194007

8 0
3 years ago
Use the rule x + 8 to write a pattern. Begin with x = 0.
Nutka1998 [239]
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7 0
2 years ago
You need to strengthen a 19% alcohol solution with pure alcohol solution to obtain 40% solution. How much pure alcohol should yo
Alex73 [517]
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8 0
3 years ago
Find the LMC of 12 and 30
dlinn [17]

Answer:

60.

Step-by-step explanation:

I guess you mean the LCM (Lowest Common Multiple):

12 = 2 * 2 * 3

30 = 2 * 3 * 5

We see there are duplicate 2's and 3's so:

So the LCM  is 2 * 2 * 3 * 5 =  60.

(the duplicates only appear once in the calculation).

5 0
3 years ago
Read 2 more answers
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