Question

Which ordered pair is a solution of the equation?

y = -7x + 2

(1,2)
(8,-54)
(5, -35)
(1,-7)

Answer 1

answer
(8,-54)

,,,,,,,,,,,,,,,,,,,,,,,,

when x = 8 then

y = -7(8) + 2
y = -56 + 2
y = -54

Answer 2

Option 2 - (8,-54)

Explanation:

Given : Equation
`y=-7x+2`

To find : Which ordered pair is a solution of the equation?

Solution :

To check whether the given points is the solution substitute the the point in equation if they equate then it satisfied.

1) Point (1,2)

`y=-7x+2`

`2=-7(1)+2`

`2=-7+2`

`2\\eq-5`

Not a solution.

2) Point (8,-54)

`y=-7x+2`

`-54=-7(8)+2`

`-54=-56+2`

`-54=-54`

This is a solution.

3) Point (5,-35)

`y=-7x+2`

`-35=-7(5)+2`

`-35=-35+2`

`-35\\eq-33`

Not a solution.

3) Point (1,-7)

`y=-7x+2`

`-7=-7(1)+2`

`-7=-7+2`

`-7\\eq-5`

Not a solution.

Therefore, Option 2 is correct.