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MArishka [77]
3 years ago
13

Solve the system by substitution. 4x=8y 2x+5y=27

Mathematics
2 answers:
MAVERICK [17]3 years ago
3 0

Answer:

(6, 3)

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Alg I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

4x = 8y

2x + 5y = 27

<u>Step 2: Rewrite systems</u>

x = 2y

2x + 5y = 27

<u>Step 3: Solve for </u><em><u>y</u></em>

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

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Plug in y into an original equation to find x.</em>

  1. Substitute:               4x = 8(3)
  2. Multiply:                   4x = 24
  3. Isolate <em>x</em>:                  x = 6
Alex777 [14]3 years ago
3 0

Answer:

(6,3)

Step-by-step explanation:

4x = 8y\\4x/4 = x\\8y/4= 2y\\x=2y

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

x =2y\\x= 2(3)\\x=6

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