Answer:
x=-4
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=
![7* x](https://img.qammunity.org/2020/formulas/mathematics/high-school/ndtlbh48spr0wis7geikx4q6ka5zxkkutd.png)
Seven times a number=
![7x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/esdqgeqcph4t2e5ok6bhmnpy0vqhta942p.png)
Sum of eleven and 7 times a number x=
![11+7x](https://img.qammunity.org/2020/formulas/mathematics/high-school/vxjxj2lw1lhdzd7n5f6yk99ic4ci5pvl4x.png)
According to question
![11+7x=-17](https://img.qammunity.org/2020/formulas/mathematics/high-school/uzjvmsdsrwah4kig6asns48k29dea0o5vw.png)
![7x=-17-11](https://img.qammunity.org/2020/formulas/mathematics/high-school/jslqflxege805jgmpjvstrril40xh9zwfl.png)
Using subtraction property of equality
![7x=-28](https://img.qammunity.org/2020/formulas/mathematics/high-school/j6x7qugakdz6jqtgydvg2o1e5d949pnzxo.png)
![x=(-28)/(7)=-4](https://img.qammunity.org/2020/formulas/mathematics/high-school/yc5abt6cw1jt3szve1pz1e46fnei0lm9yj.png)
Using division property of equality
Hence, the value of number=x=-4