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3 years ago

Solve this system of equations using substitution. Put your answer in ordered pair form, (x,y).

Mathematics

1 answer:

Gelneren [198K]3 years ago

8 0

2x + 5y = 2
-3x - y =-3

-3x - y = -3
y = 3x - 3

substitute y = 3x - 3 into the first equation.

2x + 5y = 2
2x + 5(3x - 3) = 2
2x + 15x - 15 = 2
17x - 15 = 2

solve for x in 17x - 15 = 2

17x - 15 = 2
17x = 2 + 15
17x = 17
x = 1

substitute x = 1 into y = 3x - 3

y = 3x - 3
y = 3(1) - 3
y = 3 - 3
y = 0

(1, 0) << the answer

hope this helped, God bless!

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3 years ago

Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th

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Answer:

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?

Let us convert time taken into hours as:

$\text{Days}=5\times 12=60$

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1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

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Now, we will divide 1800 by 45 to find average rate in laps per hour as:

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Therefore, Sebastian's average rate is 40 laps per hour.

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2 years ago

X-y=3<br> X+2y=-6<br> Solve using substitution

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X+2y=-6
=========
3+y+2y=-6
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X+2y=-6
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2 years ago

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3 years ago

What is 10*10? Please help! :)

Zigmanuir [339]

Answer:

100

Step-by-step explanation:

It will help in the future to memorize your time tables

10*10 is basically 10 plus 10, 10 times but in a easier form

10+10+10+10+10+10+10+10+10+10=100

10+10=20

20+10=30

30+10=40

40+10=50

50+10=60

60+10=70

70+10=80

80+10=90

90+10=100

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2 years ago