Answer:
C
Step-by-step 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:
[tex]2\stackrel{?}{=}4(0)-1[/tex]
Multiply and subtract:
[tex]2\neq -1[/tex]
So A is not correct.
B) (1,4)
Same thing:
[tex]4\stackrel{?}{=}4(1)-1[/tex]
Multiply and subtract:
[tex]4\neq 3[/tex]
So B is not correct.
C) (2,7)
[tex]7\stackrel{?}{=}4(2)-1[/tex]
Multiply and subtract:
[tex]7\stackrel{\checkmark}{=}7[/tex]
So, our answer is C.
Let's do D just to double check:
D) (3,6)
[tex]6\stackrel{?}{=}4(3)-1\\[/tex]
Multiply and subtract:
[tex]6\neq 11[/tex]
Therefore, our correct answer is C.
And we're done!
