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

Respuesta :

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Answer:

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)

Answer:

d

Step-by-step explanation: