Question

Which ordered pair makes the equation true: 2x – 8y = –4, (–6, 1), (–1, 4), (1, 4), (6, 2)?

Answer 1

(6 ,2)

Explanation:

What we have to do here is substitute each ordered pair, in turn, into the equation to test which pair make it true. We are looking for the evaluation on the left side to equal - 4 on the right.

`•(color(red)(-6),color(blue)(1))to2(color(red)(-6))-8(color(blue)(1))=-12-8=-20≠-4`

`•(color(red)(-1),color(blue)(4))to2(color(red)(-1))-8(color(blue)(4))=-2-32=-34≠-4`

`•(color(red)(1),color(blue)(4))to2(color(red)(1))-8(color(blue)(4))=2-32=-30≠-4`

`•(color(red)(6),color(blue)(2))to2(color(red)(6))-8(color(blue)(2))=12-16=-4" this is true"`

The only pair that make the equation true is (6 ,2)