Q .6CT Solve the equation. Check your s... [FREE SOLUTION]

91影视

Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset 91影视 Explanations$ Math

Common Core Edition 路 183 pages

ISBN: 9780547587776

Chapter 3: Q .6CT (page 160)

Solve the equation. Check your solution.
$鈭� 6 y + 4 + 11 y = 鈭� 16$

Short Answer

Expert verified

The solution for the equation is $y = - 4$ .

Step by step solution

Step 1. Apply the concept of Linear Equation

In this type of equation, simply use the tools of mathematical operations like addition, subtraction, multiplication or division to eliminate the numbers in the equation and also maintaining the equality by using the proper numbers and get the result.

Step 2. Find the value of y by solving the inequality

Since, the equation is $- 6 y + 4 + 11 y = - 16$ .

Here, to simplify this equation, adding the variable and subtract $4$ to both side on the above

$\begin{array}{l} 鈭� 6 y + 4 + 11 y = 鈭� 16 \\ 5 y + 4 = 鈭� 16 \\ 5 y + 4 鈭� 4 = 鈭� 16 鈭� 4 \\ 5 y = 鈭� 20 \\ y = \frac{鈭� 20}{5} \\ y = 鈭� 4 \end{array}$

Step 3. Check the equation to verify the equality

Since, the solution is, $y = - 4$ and the equation is $- 6 y + 4 + 11 y = - 16$ .

So,

Put $y = - 4$ in equation,

$\begin{array}{l} L e f t 鈥夆赌� H a n d 鈥� S i d e : \\ = 鈭� 6 y + 4 + 11 y \\ = 鈭� 6 (鈭� 4) + 4 + 11 (鈭� 4) \\ = 24 + 4 鈭� 44 \\ = 28 鈭� 44 \\ = 鈭� 16 \\ = R i g h t 鈥� H a n d 鈥� S i d e \end{array}$

It holds the equation.

So, the solution $y = - 4$ correctly holds the equation.

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91影视

Solve the equation. Check your solution.
$鈭� 6 y + 4 + 11 y = 鈭� 16$

Short Answer

Step by step solution

Step 1. Apply the concept of Linear Equation

Step 2. Find the value of y by solving the inequality

Step 3. Check the equation to verify the equality

One App. One Place for Learning.

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91影视

Solve the equation. Check your solution.鈭�6y+4+11y=鈭�16

Short Answer

Step by step solution

Step 1. Apply the concept of Linear Equation

Step 2. Find the value of y by solving the inequality

Step 3. Check the equation to verify the equality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Geometry

Logic and Functions

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

Solve the equation. Check your solution.
$鈭� 6 y + 4 + 11 y = 鈭� 16$