Question

Nihe times the sum of a number and eleven is -108. What is the number?A) Translate the statement above into an equation that you can solve to answer this question. Donot solve it yet. Use x as your variable.The equation isB) Solve your equation in part [A] for x.Answer: 2 =

Answer 1

Let's translate the sentences they give us:

"Nine times the sum of a number and eleven is -108. "

The sum of an unknown number (let's call it "x" ) and eleven, can be written as:

( x + 11)

Now,nine times this is the product of 9 times the quantity we just found:

9 * (x + 11) = -108

now we use distributive property to eliminate parenthesis;

9 x + 99 = -108

now we subtract 99 from both sides to isolate the term in x:

9 x = -108 - 99

9 x = - 207

Now we divide both sides by 9 in order to leave the unknown by itself:

x = - 207/ 9

x = - 23