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Likurg_2 [28]
3 years ago
11

−5y=−5 7x+6y=7 ​ Is (5,1) a solution of the system

Mathematics
1 answer:
enot [183]3 years ago
8 0

Answer:no, (5,1) is not a solution for the equation. (1/7,1) will be a solution for the equation.

Step-by-step explanation:

one way to do it is to plug 1 as the y-value into the first equation which does work but when you plug 5 as the x-value and 1 as the y-value in the second equation, it will get you to 41 which does not match so it will not be an equation. the other way to check is to solve by substitution which for the first equation, you divide both side by -5 and get y=1 then substitute y with 1 in the second equation and subtract both side by 6 and get 7x=1 and divide both side by 7 to get 1/7. the y-value match but the x-value don't so (5,1) is not a solution.

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7 0
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What is the slope of the line in the graph?
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Levart [38]

Answer:

Option 3

y + 16 = 8(x + 2)

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • x = 2, 4, 6, 8
  • y = 16, 32, 48, 64

Now, Put the values in equation 1

y – 16 = 8(x – 2)

  • For x = 2 and y = 16

y – 16 = 8(x – 2)

16 – 16 = 8(2 – 2)

0 = 8

Here, L.H.S ≠ R.H.S

So, Option 1 is incorrect

Now, Put the values in equation 2

y – 16 = 8x – 2

  • For x = 2 and y = 16

y – 16 = 8x – 2

16 – 16 = 8(2) – 2

0 = 14

Here, L.H.S ≠ R.H.S

So, Option 1 is incorrect

Now, Put the values in equation 3

y + 16 = 8(x + 2)

  • For x = 2 and y = 16

y + 16 = 8(x + 2)

16 + 16 = 8(2 + 2)

32 = 8(4)

32 = 32

Here, L.H.S = R.H.S

Check other values of x and y

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y + 16 = 8(x + 2)

32 + 16 = 8(4 + 2)

48 = 8(6)

48 = 48

Here, L.H.S = R.H.S

  • For x = 6 and y = 48

y + 16 = 8(x + 2)

48 + 16 = 8(6 + 2)

64 = 8(8)

64 = 64

Here, L.H.S = R.H.S

  • For x = 8 and y = 64

y + 16 = 8(x + 2)

64 + 16 = 8(8 + 2)

80 = 8(10)

80 = 80

Here, L.H.S = R.H.S

Thus, The equation 3 in point-slope from gives the plant's height at any time.

 

<u>-TheUnknownScientist 72</u>

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