Question

Proportions answer pls

Answer 1

Answer:

Y equals -1/5

Answer 2

Answer:

y = -0.2

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Step-by-step explanation:

Step 1: Define equation

$\frac{3.6}{0.2(6y + 1)} =\frac{9}{0.5y}$

Step 2: Solve for y

1. Distribute 0.2:                              $\frac{3.6}{1.2y + 0.2} =\frac{9}{0.5y}$
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:                    $\frac{3.6}{0.2(6(-0.2) + 1)} =\frac{9}{0.5(-0.2)}$
2. Multiply:                        $\frac{3.6}{0.2(-1.2 + 1)} =\frac{9}{-0.1}$
3. Add:                              $\frac{3.6}{0.2(-0.2)} =\frac{9}{-0.1}$
4. Multiply:                        $\frac{3.6}{-0.04} =\frac{9}{-0.1}$
5. Divide:                          $-90=-90$

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