Question

5 Write an equation for each of the following and solve it. (a) The sum of one-sixth ofx and -9 is -25.​

Answer 1

x= -96

Explanation:

1

`(x)/(6) + ( - 9) = - 25 \\ (x)/(6 ) = - 25 - ( - 9) \\ \\ (x)/(6) = - 25 + 9 \\ (x)/(6) = - 16 \\ x = - 16 * 6 \\ x = - 96`

Answer 2

`\huge\boxed{\bf\: Equation \rightarrow (1)/(6)*x - 9 = - 25}`

`\huge\boxed{\bf\: Solution \rightarrow - 96}`

Explanation:

Take the variable as 'x'.

Let's breakdown the given statement.

• ⅙th of x =⅙*x
• The sum of ⅙*x & - 9 = ⅙*x + (-9)
• Is equal to = ⅙*x + (-9) = - 25

Given equation,

⅙*x - 9 = - 25

By solving,

⅙*x - 9 = - 25

⅙*x = - 25 + 9

⅙*x = - 16

x = - 16 * 6

x =
`\boxed{\bf\: - 96}`

`\rule{150pt}{2pt}`