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solniwko [45]
3 years ago
13

Proportions answer pls

Mathematics
2 answers:
mezya [45]3 years ago
7 0

Answer:

Y equals -1/5

I am Lyosha [343]3 years ago
6 0

Answer:

y = -0.2

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

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

<u />\frac{3.6}{0.2(6y + 1)} =\frac{9}{0.5y}<u />

<u />

<u>Step 2: Solve for </u><em><u>y</u></em>

  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

<u>Step 3: Check</u>

<em>Plug in y to verify it's a solution.</em>

  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.

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