Question

Determine which ordered pair is a solution of y=8x.

A. (0,8)
B. (-1,8)
C. (1.5,10)
D. (2,16)

Answer 1

y = 8x
y = 8(2)
y = 16
(x, y) = (2, 16)

The answer is D.

Answer 2

we know that

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

we will proceed to solve each case to determine the solution of the problem

we have

`y=8x` -------> equation
`1`

case a)
`(0,8)`

`x=0\\y=8`

For
`x=0`

substitute the value of x in the equation
`1` and then compare the values of y

`y=8*0=0`

so

`0\\eq 8`

The ordered pair case a) is not solution

case b)
`(-1,8)`

`x=-1\\y=8`

For
`x=-1`

substitute the value of x in the equation
`1` and then compare the values of y

`y=8*(-1)=-8`

so

`-8\\eq 8`

The ordered pair case b) is not solution

case c)
`(1.5,10)`

`x=1.5\\y=10`

For
`x=1.5`

substitute the value of x in the equation
`1` and then compare the values of y

`y=8*1.5=12`

so

`12\\eq 10`

The ordered pair case c) is not solution

case d)
`(2,16)`

`x=2\\y=16`

For
`x=2`

substitute the value of x in the equation
`1` and then compare the values of y

`y=8*2=16`

so

`16=16`

The ordered pair case d) is a solution

therefore

the answer is

`(2,16)`