Answer:
x=-4
Step-by-step explanation:
We are given that
The sum of eleven and seven times a number is -17.
We have to convert the given sentence into an equation and find the value of number.
Let x be the number.
Seven times a number=[tex]7\times x[/tex]
Seven times a number=[tex]7x[/tex]
Sum of eleven and 7 times a number x=[tex]11+7x[/tex]
According to question
[tex]11+7x=-17[/tex]
[tex]7x=-17-11[/tex]
Using subtraction property of equality
[tex]7x=-28[/tex]
[tex]x=\frac{-28}{7}=-4[/tex]
Using division property of equality
Hence, the value of number=x=-4
