Question

Which ordered pair is a solution of 5x-y = 1: (1,-4) (0,4) (-1,6) (-2,-12)?

Answer 1

none of them.

Explanation:

What we have to do here is substitute the x and y coordinates of each given point into the equation to see which pair makes it true.
That is we're looking for an answer of 1.

`•(1,-4)tox=color(blue)(1)" and " y=color(red)(-4)`

`rArr(5xxcolor(blue)(1))-(color(red)(-4))=5+4=9larr≠1`

`•(0,4)tox=color(blue)(0)" and " y=color(red)(4)`

`rArr(5xxcolor(blue)(0))-color(red)(4)=0-4=-4larr≠1`

`•(-1,6)tox=color(blue)(-1)" and " y=color(red)(6)`

`rArr(5xxcolor(blue)(-1))-color(red)(6)=-5-6=-11larr≠1`

`•(-2,-12)tox=color(blue)(-2)" and "y=color(red)(-12)`

`rArr(5xxcolor(blue)(-2))-(color(red)(-12))=-10+12=2larr≠1`

Hence none of these ordered pairs is a solution of 5x - y = 1

However, if the ordered pair (-1 ,6) was (-1 ,-6)

Then `(5xxcolor(blue)(-1))-(color(red)(-6))=-5+6=1" true"`