Chapter 2: Q 2.9 (page 102)

Solve: $6 [4 - 2 (7 y - 1)] = 8 (13 - 8 y)$ .

Short Answer

Expert verified

The solution is $y = - \frac{17}{5}$ .

Step by step solution

Step 1. Given information.

Solve the below linear equation,

$6 [4 - 2 (7 y - 1)] = 8 (13 - 8 y)$ .

Step 2. Use the Distributive Property to remove any parentheses.

Combine like terms and simplify.

$\begin{array}{rcl} 6 [4 - 2 (7 y - 1)] & = & 8 (13 - 8 y) \\ 6 [4 - 14 y + 2] & = & 104 - 64 y \\ 24 - 84 y + 12 & = & 104 - 64 y \\ 36 - 84 y & = & 104 - 64 y \\ 36 - 84 y + 64 y & = & 104 - 64 y + 64 y \\ 36 - 20 y & = & 104 \\ 36 - 20 y - 36 & = & 104 - 36 \\ - 20 y & = & 68 \\ - \frac{20}{20} y & = & \frac{68}{20} \\ - y & = & \frac{17}{5} \\ y & = & - \frac{17}{5} \end{array}$

Step 3. Check the solution.

Put $y = - \frac{17}{5}$ into the equation.

$6 [4 - 2 (7 y - 1)] = 8 (13 - 8 y) 6 [4 - 2 (7 \cdot (- \frac{17}{5}) - 1)] = 8 [13 - 8 (- \frac{17}{5})] 6 [4 - 2 ((- \frac{119}{5}) - 1)] = 8 [13 - (- \frac{136}{5})] 6 [4 - 2 (\frac{- 119 - 5}{5})] = 8 [13 + \frac{136}{5}] 6 [4 - 2 (- \frac{124}{5})] = 8 [\frac{65 + 136}{5}] 6 [\frac{20 + 248}{5}] = 8 [\frac{201}{5}] 6 [\frac{268}{5}] = 8 [\frac{201}{5}] \frac{1608}{5} = \frac{1608}{5}$

Hence, the solution is correct.

Step 4. Conclusion.

The solution of the given linear equation is $y = - \frac{17}{5}$ .

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Solve: $6 [4 - 2 (7 y - 1)] = 8 (13 - 8 y)$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Use the Distributive Property to remove any parentheses.

Step 3. Check the solution.

Step 4. Conclusion.

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Solve:64-2(7y-1)=8(13-8y).

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Use the Distributive Property to remove any parentheses.

Step 3. Check the solution.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Logic and Functions

Geometry

Decision Maths

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve: $6 [4 - 2 (7 y - 1)] = 8 (13 - 8 y)$ .