Question

The ordered pair below is a solution to which equation? (2, 12) A.y=1/5x B.y=1/2x C. y = 2x D. y = 6x

Answer 1

D. y = 6x...subbing in (2,12)...x = 2 and y = 12
12 = 6(2)
12 = 12 (correct)

so (2,12) is a solution to : y = 6x

Answer 2

D. y = 6x

Explanation:

In order to conclude which pair is a real solution to one of these equations, we need to evaluate the point in each equation.

Let:

`(x,y)=(2,12)`

So, this pair will be a solution if when evaluating the value of x=2 in the function the result is y=12.

For A.

`y(x)=(1)/(5)x \\\\y(2)=(2)/(5) =0.4\\eq12`

This pair is not a solution to this equation.

For B.

`y(x)=(1)/(2)x\\\\y(2)=(2)/(2) =1 \\eq 12`

This pair is not a solution to this equation.

For C.

`y(x)=2x\\\\y(2)=2*2=4 \\eq 12`

This pair is not a solution to this equation.

For D.

`y(x)=6x\\\\y(2)=6*2=12`

This pair is a solution to this equation.