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NEED HELP FAST!!!
2.
Two lines, C and D, are represented by the equations given below:

Line C: y = x + 10
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why? (5 points)



(5, 17), because one of the lines passes through this point

(5, 17), because the point lies between the two axes

(4, 14), because the point does not lie on any axis

(4, 14), because both lines pass through this point

Respuesta :

vladdobra
To solve this system of equations, you can just set them equal to each other as they both equal y.  
[tex]x+10 = 3x+2 \\ x+8=3x \\ 8=2x \\ x=4\\[/tex]   
To find the value of y, just plug x back into one of the equations:  
[tex]y=4+10 \\ y=14[/tex]  
The answer to the system is (4,14), but there are two choices corresponding to that. Because this system has a solution that satisfies both x and y, they intersect at a certain point (4,14)  
Your answer is (4, 14), because both lines pass through this point

Answer:

answer D

Step-by-step explanation:

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