Chapter 3: Q .4CT (page 160)

Solve the equation. Check your solution.
$\frac{z}{- 2} + 5 = 7$

Short Answer

Expert verified

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

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 z by solving the inequality

Since, the equation is $\frac{z}{- 2} + 5 = 7$ .

Here, to simplify this equation, subtract $5$ to both side on the above

$\begin{array}{l} \frac{z}{- 2} + 5 = 7 \\ \frac{z}{- 2} + 5 - 5 = 7 - 5 \\ \frac{z}{- 2} = 2 \\ z = - 2 \times 2 \\ z = - 4 \end{array}$

Step 3. Check the equation to verify the equality

Since, the solution is, $z = - 4$ and the equation is $\frac{z}{- 2} + 5 = 7$ .

So,

Put $z = - 4$ in equation,

$\begin{array}{l} L e f t H a n d S i d e : \\ = \frac{z}{- 2} + 5 \\ = \frac{- 4}{- 2} + 5 \\ = 2 + 5 \\ = 7 \\ = R i g h t H a n d S i d e \end{array}$

It holds the equation.

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

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Solve the equation. Check your solution.
$\frac{z}{- 2} + 5 = 7$

Short Answer

Step by step solution

Step 1. Apply the concept of Linear Equation

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

Step 3. Check the equation to verify the equality

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Solve the equation. Check your solution. z-2+5=7

Short Answer

Step by step solution

Step 1. Apply the concept of Linear Equation

Step 2. Find the value of z 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

Discrete Mathematics

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve the equation. Check your solution.
$\frac{z}{- 2} + 5 = 7$