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Otrada [13]
3 years ago
15

Lines C and D are represented by the equations given below: Line C: y = x + 6 Line D: y = 3x + 2 Which of these shows the soluti

on to the system of equations and explains why?
Mathematics
1 answer:
Andre45 [30]3 years ago
7 0

Solution: (2,8)

Using the elimination method set up the system of equations like:

y = x + 6

y = 3x + 2

Eliminate the x-variable by multiplying the top equation by -3

-3y = -3x -18

y = 3x + 2

Combine terms:

-2y = -16

-y = -8

y = 8

Plug in 8 to one of the first equations for y

8 = 3x + 2

6 = 3x

x = 2

Solution: (2,8)

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Answer:

None of the above

Step-by-step explanation:

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We know that k=3, so we can substitute that into the equation

x-1/3 = 3

Add 1/3 to each side

x-1/3 + 1/3 = 3+1/3

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Step-by-step explanation:

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A jar contains 14 nickels, 10 dimes, 6 quarters, and 22 pennies. A coin is chosen at random from the jar. What is the probabilit
gulaghasi [49]
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4 0
3 years ago
Coach purchased footballs and basketballs from two different stores.
Serjik [45]

Answer:

  • $6.25

Step-by-step explanation:

Let football cost be f and basketball cost be b

<u>We have two equations as per given:</u>

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  • 10f + 6b = 82.50

We need to find b, therefore we'll eliminate f

<u>To do so we'll double the first equation and subtract the second one:</u>

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  • 28b - 6b = 220 - 82.50
  • 22b = 137.5
  • b = 137.5/22
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Each basketball costs $6.25

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Read 2 more answers
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