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Sveta_85 [38]
3 years ago
13

3x = 27 + Зу 3х - 10у = 27 please explain how you got the answer.

Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0

Answer:

Hi there!

Your answer is:

Y= 0

X= 9

Step-by-step explanation:

3x=27+3y

3x-10y=27

Solve one of them for Y

I chose the first equation

3x=27+3y

-27

3x-27=3y

/3

x-9 = y

NOW, plug y in the second equation!

3x-10y=27

y= x-9

3x-10y=27

3x-10(x-9) = 27

Solve for x!

3x-10x+90 = 27

-7x + 90 =27

-90

-7x = -63

/-7

x= 9

FINALLY, plug back in x for y equation

y=x-9

x=9

y=9-9

y=0

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seropon [69]

Answer:

  • 7 feet, 3 feet, 7.5 feet

Step-by-step explanation:

Let the sides be a, b and c.

<h3>Given</h3>

The length of one side of a triangle is 2 feet less than three times the length of its second side

  • a = 3b - 2

The length of the third side is 3/4 of the sum of the lengths of the first two sides:

  • c = (3/4)(a + b)

The perimeter of the triangle is 17.5 feet:

  • a + b + c = 17.5

<h3>Solution</h3>

Substitute a with b in the second equation:

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Now substitute a and c with b in the third equation and solve for b:

  • a + b + c = 17.5
  • 3b - 2 + b + 3b - 1.5 = 17.5
  • 7b - 3.5 = 17.5
  • 7b = 17.5 + 3.5
  • 7b = 21
  • b = 3

Find the value of a:

  • a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7

Find the value of c:

  • c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5

The sides of the triangle are:

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8 0
2 years ago
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