Q46 Find the value of the variable.3... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 1: Q46 (page 10)

Find the value of the variable.
$3 (180 鈭� y) = 2 (90 鈭� y)$

Short Answer

Expert verified

The value of the variable is $y = 360$ .

Step by step solution

Step 1. Apply the distributive property of multiplication.

The formula of distributive property of multiplication is given by: $x (y + z) = x y + x z$ . Apply this property to the equation $3 (180 鈭� y) = 2 (90 鈭� y)$ .

role="math" localid="1638271233655">3180鈭�y=290鈭�y3脳180鈭�3脳y=2脳90鈭�2脳y540鈭�3y=180鈭�2y

Step 2. Add 3y.

To further simplify, add 3y from both sides of the equation $540 鈭� 3 y = 180 鈭� 2 y$ .

role="math" localid="1638271418146" $\begin{array}{l} 540 鈭� 3 y + 3 y = 180 鈭� 2 y + 3 y \\ 540 = 180 + y \end{array}$

Step 3. Subtract 180.

To find the value of variable y in the equation $540 = 180 + y$ , subtract 180 from both sides of the equation.

$\begin{array}{l} 540 鈭� 180 = 180 + y 鈭� 180 \\ 360 = y \end{array}$

Step 4. Verify the value.

In order to verify the value of y, substitute 360 for y into the equation $3 (180 鈭� y) = 2 (90 鈭� y)$ .

$\begin{array}{l} 3 (180 鈭� 360) = 2 (90 鈭� 360) \\ 3 (鈭� 180) = 2 (鈭� 270) \\ 鈭� 540 = 鈭� 540True \end{array}$

Hence, the value of the variable is $y = 360$ .

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91影视

Find the value of the variable.
$3 (180 鈭� y) = 2 (90 鈭� y)$

Short Answer

Step by step solution

Step 1. Apply the distributive property of multiplication.

Step 2. Add 3y.

Step 3. Subtract 180.

Step 4. Verify the value.

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91影视

Find the value of the variable.3180鈭�y=290鈭�y

Short Answer

Step by step solution

Step 1. Apply the distributive property of multiplication.

Step 2. Add 3y.

Step 3. Subtract 180.

Step 4. Verify the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Probability and Statistics

Discrete Mathematics

Mechanics Maths

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the value of the variable.
$3 (180 鈭� y) = 2 (90 鈭� y)$