Pretty sure it’s c
If I am right pls mark brainliest
Answer: y = -11
<u>Step-by-step explanation:</u>
![\text{Sum:}\\\\.\quad \dfrac{y+1}{y-5}+\dfrac{10}{y+5}\\\\\\=\bigg(\dfrac{y+5}{y+5}\bigg)\dfrac{y+1}{y-5}+\dfrac{10}{y+5}\bigg(\dfrac{y-5}{y-5}\bigg)\\\\\\=\dfrac{y^2+6y+5}{(y+5)(y-5)}+\dfrac{10y-50}{(y+5)(y-5)}\\\\\\=\dfrac{y^2+6y+5+10y-50}{(y+5)(y-5)}\\\\\\=\dfrac{y^2+16y-45}{(y+5)(y-5)}](https://tex.z-dn.net/?f=%5Ctext%7BSum%3A%7D%5C%5C%5C%5C.%5Cquad%20%5Cdfrac%7By%2B1%7D%7By-5%7D%2B%5Cdfrac%7B10%7D%7By%2B5%7D%5C%5C%5C%5C%5C%5C%3D%5Cbigg%28%5Cdfrac%7By%2B5%7D%7By%2B5%7D%5Cbigg%29%5Cdfrac%7By%2B1%7D%7By-5%7D%2B%5Cdfrac%7B10%7D%7By%2B5%7D%5Cbigg%28%5Cdfrac%7By-5%7D%7By-5%7D%5Cbigg%29%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7By%5E2%2B6y%2B5%7D%7B%28y%2B5%29%28y-5%29%7D%2B%5Cdfrac%7B10y-50%7D%7B%28y%2B5%29%28y-5%29%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7By%5E2%2B6y%2B5%2B10y-50%7D%7B%28y%2B5%29%28y-5%29%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7By%5E2%2B16y-45%7D%7B%28y%2B5%29%28y-5%29%7D)
![\text{Product:}\\\\.\quad \dfrac{(y+1)(10)}{(y-5)(y+5)}\\\\\\=\dfrac{10y+10}{(y-5)(y+5)}\\\\\\\text{Sum = Product:}\\\\\dfrac{y^2+16y-45}{(y+5)(y-5)}=\dfrac{10y+10}{(y+5)(y-5)}\qquad Restriction: y\neq -5, 5\\\\\\\rightarrow y^2+16y-45=10y+10\\\\\rightarrow y^2+6y-55=0\\\\\rightarrow (y+11)(y-5)=0\\\\\rightarrow y+11=0\quad and\quad y-5=0\\\\\rightarrow y=-11\qquad and\qquad y=5\\\\\\\text{Since y = 5 is a restricted value, it is not a valid solution}](https://tex.z-dn.net/?f=%5Ctext%7BProduct%3A%7D%5C%5C%5C%5C.%5Cquad%20%5Cdfrac%7B%28y%2B1%29%2810%29%7D%7B%28y-5%29%28y%2B5%29%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B10y%2B10%7D%7B%28y-5%29%28y%2B5%29%7D%5C%5C%5C%5C%5C%5C%5Ctext%7BSum%20%3D%20Product%3A%7D%5C%5C%5C%5C%5Cdfrac%7By%5E2%2B16y-45%7D%7B%28y%2B5%29%28y-5%29%7D%3D%5Cdfrac%7B10y%2B10%7D%7B%28y%2B5%29%28y-5%29%7D%5Cqquad%20Restriction%3A%20y%5Cneq%20-5%2C%205%5C%5C%5C%5C%5C%5C%5Crightarrow%20y%5E2%2B16y-45%3D10y%2B10%5C%5C%5C%5C%5Crightarrow%20y%5E2%2B6y-55%3D0%5C%5C%5C%5C%5Crightarrow%20%28y%2B11%29%28y-5%29%3D0%5C%5C%5C%5C%5Crightarrow%20y%2B11%3D0%5Cquad%20and%5Cquad%20y-5%3D0%5C%5C%5C%5C%5Crightarrow%20y%3D-11%5Cqquad%20and%5Cqquad%20y%3D5%5C%5C%5C%5C%5C%5C%5Ctext%7BSince%20y%20%3D%205%20is%20a%20restricted%20value%2C%20it%20is%20not%20a%20valid%20solution%7D)
4x+(x+5)=20
5x+5=20
5x=15
X=3
She had 1.35 gallons of yellow lemonade left
she had 0.829 gallons of pink lemonade left
so there is a total of : 1.35 + 0.829 = 2.179 gallons
Answer:
'y' must be at least one more than 'x'
Step-by-step explanation:
example: let 'x' equal 4
in order for '4 - y' to be less than zero (a negative value) then the value of 'y' must 5 or less
4 - 5 = -1