Question

What is the solution to this system?

(1, 0)
(1, 6)
(8, 26)
(8, –22)


x = –2

Answer 1

Step-by-step explanation:The system of equations represented by the given points is:1x + 0y = 1 (equation 1)

1x + 6y = 1 (equation 2)

8x + 26y = 1 (equation 3)

8x - 22y = 1 (equation 4)

We can use the first equation to solve for x in terms of y:1x + 0y = 1

1x = 1

x = 1

Then we can substitute x=1 into equations 2-4 to obtain three equations in terms of y:1(1) + 6y = 1 => 6y = 0 => y = 0

8(1) + 26y = 1 => 26y = -7/8 => y = -7/208

8(1) - 22y = 1 => -22y = -7/8 - 7 => y = 15/44

Therefore, the solution to the system is x = 1 and y = -7/208 or y = 0 or y = 15/44.

However, we are given that x = -2, which contradicts our solution of x = 1. Therefore, there is no solution to the system with the given values.