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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

01

Step 1. List the given data.

Seventeen is thirteen subtracted from six times a number.

02

Step 2. Write the equation for the given problem.

Let xbe the required number.

Translating the given problem into equation form,

17=6x鈭�13

This is the required equation for the given problem.

03

Step 3. Solve the equation.

Solving,

17=6x鈭�13 (Obtained equation)

17+13=6x鈭�13+13 (Add 13 to both sides)

30=6x (Simplify)

306=6x6 (Divide both sides by 6)

5=x (Simplify)

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

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

04

Step 4. Interpret the obtained solution.

According to the assumption, xis the required number which satisfies the given problem.

Thus, the required number is 5.

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