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brilliants [131]
3 years ago
14

Grace is three times as old as Hans, but in 5 years she will be twice as old as Hans is then. How old are they now? Set up an th

en solve a system of linear equations. please show step by step
Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

Answer:

3x - y = 0; 2x - y = -5

Step-by-step explanation:

Let x be the present age of Hans and y be the present age of Grace,

Since, in present Grace is three times as old as Hans,

⇒ y = 3x

⇒ 3x - y = 0

Now, after 5 years,

The age of Hans = x + 5,

And, the age of Grace = y + 5

Also, in 5 years Grace will be twice as old as Hans is then,

⇒ y + 5 = 2 ( x + 5 )

⇒ y + 5 = 2x + 10

⇒ 2x - y = -5

Hence, the required system of linear equations is,

3x - y = 0; 2x - y = -5

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2x+y=3<br>x-y= 1<br><br>solve the equation ​
svetlana [45]

Answer:

x = 4/3

y = 1/3

Step-by-step explanation:

System of equations! This is set up really well to make the second equation equal x then substitute.

x - y = 1

x = 1 + y

and then our substitution:

2 (1+y) + y = 3

and solve:

2 + 2y + y = 3

3y + 2 = 3

3y = 1

y = 1/3

And now we can substitute that value into one of our equations:

x - (1/3) = 1

x = 4/3

Next we should check by substituting these values into both of our equations:

2 (4/3) + (1/3) = 3

9 / 3 does equal 3 !

(4/3) - (1/3) does equal 1 !

Therefore, x = 4/3 , and y = 1/3

4 0
3 years ago
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Romashka-Z-Leto [24]

Answer:

The interquartile range is <em>50.</em>

Step-by-step explanation:

To find our answer we have to first <em>quartile 1</em> and <em>quartile 3</em> are equal too. When we look at the plot <em>quartile 1  </em>is equal to <em>20,</em> <em>quartile 3 </em>is equal to <em>70</em> because it is in between <em>60</em> and <em>80</em>.  Now to find the interquartile range we will <em>subtract 70</em> from <em>20</em> and we get <em>50</em>.  Therefore, <u><em>50</em></u><em> is our answer.</em>

7 0
2 years ago
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31.8 dived 0.58 answer
Charra [1.4K]

Answer:

54.8275862069

Step-by-step explanation:

If you want rounded than 54

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3 years ago
X^2 - 16 = 0 by extracting the square root​
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Answer:

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Step-by-step explanation:

  • x² - 16 = 0
  • x² = 16
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What exponential function is the best fit for the data in the table? x f(x) 3 10 4 16 5 28
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Use excel to draw the graph and add the trend, formula

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