Question

Ok- i need help!
what's this ......
6(x+9)=9

Answer 1

`x=-(15)/(2)`

Explanation:

Start by distributing the 6 to each of the terms in the parentheses:

6(x)+6(9)=9

6x+54=9

Subtract 54 from both sides

6x+54-54=9-54

6x=-45

Divide both sides by 6

x=-45/6

Divide the fraction by 3/3 since it is the greatest common factor of 45 and 6. Note we can only do this since 3/3 is equivalent to 1, so we are essentially dividing the fraction by 1.

x=-15/2

Answer 2

`\huge \boxed{\tt x= - 7.5}`

Explanation:

• First write the equation

`\to \sf6(x+9)=9`

`\\ \\`

• Divide the 6 to 9 which is multiplying (x + 9) .

`\to \sf(x+9)= (9)/(6)`

`\\ \\`

• Divide numerator and denominator in right side by 3

`\to \sf(x+9)= (3)/(2)`

`\\ \\`

• Subtract 3/2 with 9

`\to \sf x= (3)/(2) - 9`

`\\ \\`

`\to \sf x= (3 - 18)/(2)`

`\\ \\`

• After subtracting we will get our product as - 15/2

`\to \sf x= ( - 15)/(2)`

`\\ \\`

Round of -15 / 2 to get product as - 7.5

`\to \sf x= - 7.5`

Verification:

6(x+9)=9

6(- 7.5 +9) = 9

6 × 1.5 = 9

9 = 9

Hence verified ~☆