Respuesta :

Answer:

1

Step-by-step explanation:

Given: 15 decreased by six times a number is -9.

Lets assume the number be "x".

Now, putting the value in the equation to get the number.

six times a number = 6x

Then, 15 decreased by six times a number= [tex](6x-15)[/tex]

Now, [tex](6x-15)= -9[/tex]

Adding both side by 15

⇒ [tex]6x= -9+15[/tex]

⇒ [tex]6x= 6[/tex]

Cross multiplying

∴ x= [tex]\frac{6}{6} = 1[/tex]

Hence, the required number is 1.

Next subtituting the value in equation to check.

[tex](6x-15)= -9[/tex]

⇒ [tex](6\times 1-15)= -9[/tex]

⇒[tex](6-15)= -9[/tex]

∴ [tex] -9= -9[/tex]