Select the correct answer.

What is the solution to this system of equations?

3x + y=17

x + 2y = 49

A. It has no solution.

B. It has infinite solutions.

C. It has a single solution: x = 15, y=17.

D.

It has a single solution: x=-3, y = 26.

Can some answer this I'm confused

D. It has a single solution: x=-3, y = 26.

Step-by-step explanation:

3x + y=17

Subtract 3x so it is in y=mx+b form. So now it is y = - 3x + 17

Now plug in

x + 2 (-3x+17) = 49

x + - 6x + 34 = 49 (distribute)

-5x = 15 (combine the x terms and subtract 34 on both sides)

x = - 3 (divide - 5 on both sides to get x alone)

now plug in x into any other equation to get y

x + 2y = 49

-3 + 2y = 49

2y = 52 (add 3 on both sides)

y = 17 (divide 2 on both sides to get y alone)

(-3, 26)