Consider the following word problem: Eleven more than four times a number is equal to the difference between - 21 and four times the number. Find the number.

Question

asked May 28, 2023 223k views

1 Answer

Seddikomar · Answer 1 · 2023-06-03T19:46:21+0000

Let the unknown number be x

Eleven more than four times the number is expressed as:

The difference between -21 and four times the number is expressed as:

Combing the above expressions together, to solve for x will give us:

$\begin{gathered} 4x+11=-21-4x \\ \text{Collect like terms:} \\ 4x+4x=-21-11 \end{gathered}$

Simplifying further, we will have:

$\begin{gathered} 8x=-32 \\ (8x)/(8)=(-32)/(8) \\ x=-4 \end{gathered}$

The number, therefore, is -4