Chapter 2: Q10. (page 110)

Solve each equation. Check your solution.
$- 21 = 7 - 4 y$

Short Answer

Expert verified

The solution of given equation is $y = 7$ .

Step by step solution

Step 1. Given equation.

$- 21 = 7 - 4 y$

Step 2. Description of step.

Solve the given equation to find the value of y as,

$\begin{matrix} - 21 = 7 - 4 y \\ \Rightarrow - 21 - 7 = - 4 y \\ \Rightarrow - 28 = - 4 y \\ \Rightarrow 4 y = 28 \\ \Rightarrow y = \frac{28}{4} \\ \Rightarrow y = 7 \end{matrix}$

Step 3. Check solution.

In order to check the solution, put the value of yback in the given equation and see if it satisfies the equation, i.e. of left hand side is equals to right hand side, as:

$\begin{matrix} - 21 = 7 - 4 y \\ \Rightarrow - 21 = 7 - 4 (7) \\ \Rightarrow - 21 = 7 - 28 \\ \Rightarrow - 21 = - 21 \\ \Rightarrow true \end{matrix}$

Hence, the solution $y = 7$ satisfies the equation.

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Solve each equation. Check your solution.
$- 21 = 7 - 4 y$

Short Answer

Step by step solution

Step 1. Given equation.

Step 2. Description of step.

Step 3. Check solution.

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Solve each equation. Check your solution.−21=7−4y

Short Answer

Step by step solution

Step 1. Given equation.

Step 2. Description of step.

Step 3. Check solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Mechanics Maths

Logic and Functions

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.
$- 21 = 7 - 4 y$