3x-27/55÷x-9/15x my answer is =3(11x^2-4)/11x
is this correct
no
3x-27/55÷x-9/15x
= 3(x-9)/55 ÷ (x-9)/15x
= 3(x-9)/55 * 15x/(x-9)
= 9x/11 , x not equal to 9
I divided top and bottom by x-9 and 5
Thanks Reiny this is hard
To verify if your answer is correct, we need to simplify the expression on the right-hand side of the equation and see if it matches the expression on the left-hand side. Let's simplify step by step:
1. Start by simplifying the division:
- The expression 3x - 27/55 can be written as 3x - (27/55).
- Similarly, x - 9/15x can be written as x - (9/15x).
2. Simplify the expression in parentheses:
- 27/55 can be reduced to 9/55 after dividing both the numerator and denominator by 3.
- Similarly, 9/15x can be written as 3/5x after dividing both the numerator and denominator by 3.
3. Rewrite the division using multiplication by the reciprocal:
- 3x - (27/55) becomes 3x - (27/55)*(1), and x - (9/15x) becomes x - (3/5x)*(1).
4. Multiply the fractions:
- (27/55)*(1) = 27/55, and (3/5x)*(1) = 3/5x.
5. Simplify further:
- The expression 3x - (27/55) simplifies to 3x - (27/55), and x - (3/5x)*(1) simplifies to x - (3/5x).
Based on the simplification steps above, we can conclude that the expression on the right-hand side of your answer, 3(11x^2 - 4)/11x, is not equivalent to the original expression. Therefore, your initial answer is incorrect.