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