Chapter 1: Q29. (page 49)

Solve the equation and check the solution.
$5 y + 4 = 2 (y - 4)$

Short Answer

Expert verified

The solution is $y = - 4$ .

Step by step solution

Step 1- Consider the equation.

Consider the equation $5 y + 4 = 2 (y - 4)$ .

Simplify the right-hand side of the equation and thus separate the terms of the coefficient of y on one side of the equation.

Step 2- Step description.

$\begin{array}{l} 5 y + 4 = 2 (y - 4) \\ 5 y + 4 = 2 y - 8 \\ 5 y - 2 y = - 8 - 4 \\ 3 y = - 12 \end{array}$

Step 3- Step description.

Divide both sides of the equation by 3.

$\begin{array}{l} 3 y = - 12 \\ y = \frac{- 12}{3} \\ y = - 4 \end{array}$

Therefore, the solution is $y = - 4$ .

Step 4- Verify the solution.

Substitute $y = - 4$ in the equation and simplify as follows:

\begin{array}{l} 5 y + 4 = 2 (y - 4) \\ 5 (- 4) + 4 = 2 (- 4 - 4) \\ - 20 + 4 = 2 (- 8) \\ - 16 = - 16 \end{array}

Since the left-hand side of the equation is equal to the right-hand side of the equation, therefore, the solution is $y = - 4$ .

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Solve the equation and check the solution.
$5 y + 4 = 2 (y - 4)$

Short Answer

Step by step solution

Step 1- Consider the equation.

Step 2- Step description.

Step 3- Step description.

Step 4- Verify the solution.

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Solve the equation and check the solution.5y+4=2y-4

Short Answer

Step by step solution

Step 1- Consider the equation.

Step 2- Step description.

Step 3- Step description.

Step 4- Verify the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Calculus

Study anywhere. Anytime. Across all devices.

Solve the equation and check the solution.
$5 y + 4 = 2 (y - 4)$