Q25. - Algebra 1

Question

Write an equation and solve each problem.

Seventeen is thirteen subtracted from six times a number. What is the number?

Step-by-Step Solution

Answer

The required number is 5.

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,

 

$17=6x-13$

 

This is the required equation for the given problem.

Step 3. Solve the equation.

Solving,

 

$17=6x-13$  (Obtained equation)

 

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

 

$30=6x$  (Simplify)

 

$\frac{30}{6}=\frac{6x}{6}$  (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.