Question

Proportions answer pls

Answer 1

Y equals -1/5

Answer 2

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.