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Proportions answer pls

Proportions answer pls-example-1
User Son Truong
by
5.7k points

2 Answers

6 votes

Answer:

Y equals -1/5

User Pnemonic
by
5.1k points
7 votes

Answer:

y = -0.2

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Explanation:

Step 1: Define equation


(3.6)/(0.2(6y + 1)) =(9)/(0.5y)

Step 2: Solve for y

  1. Distribute 0.2:
    (3.6)/(1.2y + 0.2) =(9)/(0.5y)
  2. Cross-multiply:
    9(1.2y + 0.2) =3.6(0.5y)}
  3. Distribute:
    10.8y + 1.8 =1.8y
  4. Subtract 1.8y on both sides:
    9y + 1.8 =0
  5. Subtract 1.8 on both sides:
    9y = -1.8
  6. Divide both sides by 9:
    y = -0.2

Step 3: Check

Plug in y to verify it's a solution.

  1. Substitute:
    (3.6)/(0.2(6(-0.2) + 1)) =(9)/(0.5(-0.2))
  2. Multiply:
    (3.6)/(0.2(-1.2 + 1)) =(9)/(-0.1)
  3. Add:
    (3.6)/(0.2(-0.2)) =(9)/(-0.1)
  4. Multiply:
    (3.6)/(-0.04) =(9)/(-0.1)
  5. Divide:
    -90=-90

Here we see that -90 does indeed equal -90. ∴ y = -0.2 is indeed a solution of the equation.

User PRTJ
by
6.7k points