We will start by adding 3x to both sides. This changes the equation to 6y=3x-6.
We then divide the entire equation by 6 to get y by itself. That leaves us with y=3/6x-1 which simplifies down to y=1/2x-1
The set of all even numbers between 2 and 10 inclusive are:
{2, 4,6,8,10}
Since it asked for inclusive so include 2 and 10 as well.
Answer:
i do not know
Step-by-step explanation:
Answer:
![\dfrac{4x^2+12x+5}{6x^2-3x}](https://tex.z-dn.net/?f=%5Cdfrac%7B4x%5E2%2B12x%2B5%7D%7B6x%5E2-3x%7D)
Step-by-step explanation:
Invert the denominator and multiply.
![\dfrac{2x+5}{3x}\div\dfrac{2x-1}{2x+1}=\dfrac{2x+5}{3x}\cdot\dfrac{2x+1}{2x-1}\\\\=\dfrac{(2x+5)(2x+1)}{(3x)(2x-1)}=\boxed{\dfrac{4x^2+12x+5}{6x^2-3x}}\qquad\text{matches choice A}](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%2B5%7D%7B3x%7D%5Cdiv%5Cdfrac%7B2x-1%7D%7B2x%2B1%7D%3D%5Cdfrac%7B2x%2B5%7D%7B3x%7D%5Ccdot%5Cdfrac%7B2x%2B1%7D%7B2x-1%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%282x%2B5%29%282x%2B1%29%7D%7B%283x%29%282x-1%29%7D%3D%5Cboxed%7B%5Cdfrac%7B4x%5E2%2B12x%2B5%7D%7B6x%5E2-3x%7D%7D%5Cqquad%5Ctext%7Bmatches%20choice%20A%7D)