Respuesta :

Space

Answer:

(6, 3)

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS

Alg I

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

4x = 8y

2x + 5y = 27

Step 2: Rewrite systems

x = 2y

2x + 5y = 27

Step 3: Solve for y

  1. Substitute:                         2(2y) + 5y = 27
  2. Multiply:                             4y + 5y = 27
  3. Combine like terms:          9y = 27
  4. Isolate y:                            y = 3

Step 4: Solve for x

Plug in y into an original equation to find x.

  1. Substitute:               4x = 8(3)
  2. Multiply:                   4x = 24
  3. Isolate x:                  x = 6
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Answer:

[tex](6,3)[/tex]

Step-by-step explanation:

[tex]4x = 8y\\4x/4 = x\\8y/4= 2y\\x=2y[/tex]

[tex]2(2y)+5y=27\\4y+5y=27\\9y=27\\9y/9=y\\27/9=3\\y=3[/tex]

[tex]x =2y\\x= 2(3)\\x=6[/tex]

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