Respuesta :

Answer: B

Step-by-step explanation:

Use the substitution method to solve the equations:

Since y = x + 3 and y = 3x + 1, we know that x + 3  = 3x + 1

Set those values equal to each other:

3x + 1 = x + 3

Solve:

2x + 1 = 3

2x = 2

x = 1

Plug the x back into either one of the given equations to get y:

y = 1 + 3 = 4

y = 3(1) + 1 = 4

So your coordinate will be (1,4)

Answer:

B. [tex](1,4)[/tex].

Step-by-step explanation:

We have been given a graph of a system of equations. We are asked to find the solution for our given system.

The solution for a system of equation by graphing is the point, where graphs of both equations intersect.

Upon looking at our given graph, we can see that both graphs intersect at point [tex](1,4)[/tex].

Let us verify our answer by substituting the coordinates of point [tex](1,4)[/tex] in our given system.

[tex]y=x+3[/tex]

[tex]4=1+3[/tex]

[tex]4=4[/tex] True.

[tex]y=3x+1[/tex]

[tex]4=3(1)+1[/tex]

[tex]4=3+1[/tex]

[tex]4=4[/tex] True.

Therefore, the solution for our given system would be [tex](1,4)[/tex] and option B is the correct choice.