Question

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

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

$0\neq 8$

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

$-8\neq 8$

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

$12\neq 10$

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

$(2,16)$