Question

The ordered pairs (2, 17) and (5, 35) are solutions to which of the following equations?

A. y=-6x+5
B. y=6x-5
C. y=6x+5
D. y=-6x-5

!! 35 POINTS !!

Answer 1

C.
`y=6x+5`

Explanation:

we know that

If a ordered pair is a solution of the equation, then the ordered pair must satisfy the equation

Verify each case

we have

The ordered pairs (2, 17) and (5, 35)

case A)
`y=-6x+5`

Verify ordered pair (2,17)

Substitute the value of x and the value of y in the equation and then compare the results

`17=-6(2)+5`

`17=-7` ----> is not true

therefore

The ordered pairs (2, 17) and (5, 35) are not solutions of
`y=-6x+5`

case B)
`y=6x-5`

Verify ordered pair (2,17)

Substitute the value of x and the value of y in the equation and then compare the results

`17=6(2)-5`

`17=7` ----> is not true

therefore

The ordered pairs (2, 17) and (5, 35) are not solutions of
`y=6x-5`

case C)
`y=6x+5`

Verify ordered pair (2,17)

Substitute the value of x and the value of y in the equation and then compare the results

`17=6(2)+5`

`17=17` ----> is true

therefore

the ordered pair (2,17) is a solution of the equation

Verify ordered pair (5,35)

Substitute the value of x and the value of y in the equation and then compare the results

`35=6(5)+5`

`35=35` ----> is true

so

the ordered pair (5,35) is a solution of the equation

Hence

The ordered pairs (2, 17) and (5, 35) are solutions of
`y=6x+5`

case D)
`y=-6x-5`

Verify ordered pair (2,17)

Substitute the value of x and the value of y in the equation and then compare the results

`17=-6(2)-5`

`17=-17` ----> is not true

therefore

The ordered pairs (2, 17) and (5, 35) are not solutions of
`y=-6x-5`