Answer:
![x^2 + 66x -371 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%2066x%20-371%20%3D%200)
Step-by-step explanation:
We have two equations:
x + y = 11 (i)
(ii)
Clear x in equation (i) and substitute it in equation (ii)
![4x^2 -3(121 -22x +x^2) = 8](https://tex.z-dn.net/?f=4x%5E2%20-3%28121%20-22x%20%2Bx%5E2%29%20%3D%208)
![4x^2 -363 + 66x - 3x^2 -8 = 0](https://tex.z-dn.net/?f=4x%5E2%20-363%20%2B%2066x%20-%203x%5E2%20-8%20%3D%200)
![x^2 + 66x -371 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%2066x%20-371%20%3D%200)
To find the roots of this equation we use the quadratic formula
![\frac{-b +/- \sqrt{b^2 - 4ac}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%20%2B%2F-%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D)
Where:
b = 66
a = 1
c = -371
Then:
![\frac{-66 + \sqrt{66^2 - 4(1)(-371)}}{2(1)}\\\\and\\\\\frac{-66 - \sqrt{66^2 - 4(1)(-371)}}{2(1)}](https://tex.z-dn.net/?f=%5Cfrac%7B-66%20%2B%20%5Csqrt%7B66%5E2%20-%204%281%29%28-371%29%7D%7D%7B2%281%29%7D%5C%5C%5C%5Cand%5C%5C%5C%5C%5Cfrac%7B-66%20-%20%5Csqrt%7B66%5E2%20-%204%281%29%28-371%29%7D%7D%7B2%281%29%7D)
Then the solutions are:
![x = -33 + 2\sqrt{365} = 5.21](https://tex.z-dn.net/?f=x%20%3D%20-33%20%2B%202%5Csqrt%7B365%7D%20%3D%205.21)
and
![x = -33 - 2\sqrt{365} = -71.21](https://tex.z-dn.net/?f=x%20%3D%20-33%20-%202%5Csqrt%7B365%7D%20%3D%20-71.21)
Finaly, equation could be used to solve the system is ![x^2 + 66x -371 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%2066x%20-371%20%3D%200)
Hi, I am unable to answer because there is no diagram attached in your question.
It is C Bc 1 7/10 / 3/5 is the only correct way bc 3/5 / 1 7/10 is 6/17
If the equation is like this y=mx+c
m is the slope
c is the intercept
18x + 4y = 112
divide by 4
4.5x + y = 28
y = -4.5x + 28
slope of the line (-4.5)
intercept of the line 28