Chapter 2: Q10. (page 145)

Solve each equation. Check your solutions.
$3 (2 k - 2) = - 2 (4 k - 11)$

Short Answer

Expert verified

The $k = 2$ is the solution of the given equation.

Step by step solution

Step 1. Given information.

We have an equation $3 (2 k - 2) = - 2 (4 k - 11)$ .

To find the solution of the given equation and check the solution.

Step 2. Calculation.

Solving the given equation:

$\begin{array}{l} 3 (2 k - 2) = - 2 (4 k - 11) \\ \Rightarrow 6 k - 6 = - 8 k + 22 \\ \Rightarrow 6 k + 8 k = 6 + 22 \\ \Rightarrow 14 k = 28 \\ \Rightarrow k = 2 \end{array}$

Step 3. Check the Solution.

We substitute the $k = 2$ in the given equation.

$\begin{array}{l} 3 (2 k - 2) = - 2 (4 k - 11) \\ \Rightarrow 3 (2 \times 2 - 2) = - 2 (4 \times 2 - 11) \\ \Rightarrow 3 (4 - 2) = - 2 (8 - 11) \\ \Rightarrow 3 (2) = - 2 (- 3) \\ \Rightarrow 6 = 6 \\ \Rightarrow L . H . S . = R . H . S . \end{array}$

Hence, the $k = 2$ is the solution of the given equation.

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Solve each equation. Check your solutions.
$3 (2 k - 2) = - 2 (4 k - 11)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Check the Solution.

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Solve each equation. Check your solutions.3(2k−2)=−2(4k−11)

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Check the Solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Mechanics Maths

Decision Maths

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solutions.
$3 (2 k - 2) = - 2 (4 k - 11)$