Question

Which of the following ordered pairs is NOT a solution to the system

of equations?
y=2x-1
y = 2(x-1) +1
(0, -1)
(2.3)
(-2,-5)
(-8, 15)
(8.15)

Answer 1

`(-8, 15)`

Explanation:

First, solve this system. Since
`y=y`,

`2x-1 = 2(x-1)+1\\2x-1=2x-2+1\\2x-1=2x-1`

Thus, they are the same equation.

Now, plug in to find:

`-1 = 2(0)-1 (correct)\\3 = 2(2) -1 (correct)\\-5 = 2(-2) - 1 (correct)\\15 \\eq 2(-8) - 1 (incorrect)\\15 = 2(8) - 1 (correct)`

Thus
`(-8, 15)` is the ordered pair that doesn't work.