Chapter 2: Q25. (page 94)

Write an equation and solve each problem.
Seventeen is thirteen subtracted from six times a number. What is the number?

Short Answer

Expert verified

The required number is 5.

Step by step solution

Step 1. List the given data.

Seventeen is thirteen subtracted from six times a number.

Step 2. Write the equation for the given problem.

Let $x$ be the required number.

Translating the given problem into equation form,

$17 = 6 x - 13$

This is the required equation for the given problem.

Step 3. Solve the equation.

Solving,

$17 = 6 x - 13$ (Obtained equation)

$17 + 13 = 6 x - 13 + 13$ (Add 13 to both sides)

$30 = 6 x$ (Simplify)

$\frac{30}{6} = \frac{6 x}{6}$ (Divide both sides by 6)

$5 = x$ (Simplify)

$x = 5$ (Write the variable on the left-hand side)

So, $x = 5$ is the solution of the obtained equation.

Step 4. Interpret the obtained solution.

According to the assumption, $x$ is the required number which satisfies the given problem.

Thus, the required number is 5.

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Write an equation and solve each problem.
Seventeen is thirteen subtracted from six times a number. What is the number?

Short Answer

Step by step solution

Step 1. List the given data.

Step 2. Write the equation for the given problem.

Step 3. Solve the equation.

Step 4. Interpret the obtained solution.

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Write an equation and solve each problem.Seventeen is thirteen subtracted from six times a number. What is the number?

Short Answer

Step by step solution

Step 1. List the given data.

Step 2. Write the equation for the given problem.

Step 3. Solve the equation.

Step 4. Interpret the obtained solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Probability and Statistics

Applied Mathematics

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Write an equation and solve each problem.
Seventeen is thirteen subtracted from six times a number. What is the number?