Question

Which ordered pair is a solution to this equation? y = 4x - 1 A. (0, 2) B. (1, 4) C. (2, 7) D. (3, 6)

Answer 1

C

Explanation:

To see if an ordered pair is a solution, let's substitute the x and y-value into the equation and see if it check out. Let's go through each of the choices.

A) (0,2).

Substitute 0 for x and 2 for y. Thus:

`2\stackrel{?}{=}4(0)-1`

Multiply and subtract:

`2\\eq -1`

So A is not correct.

B) (1,4)

Same thing:

`4\stackrel{?}{=}4(1)-1`

Multiply and subtract:

`4\\eq 3`

So B is not correct.

C) (2,7)

`7\stackrel{?}{=}4(2)-1`

Multiply and subtract:

`7\stackrel{\checkmark}{=}7`

So, our answer is C.

Let's do D just to double check:

D) (3,6)

`6\stackrel{?}{=}4(3)-1\\`

Multiply and subtract:

`6\\eq 11`

Therefore, our correct answer is C.

And we're done!