Line C: y = x + 12 Line D: y = 3x + 2 Which of the following shows the solution to the system of equations and explains why? (A) (4, 14), because one of the lines passes through this point.(B) (4, 14), because the point lies between the two axes(C) (5, 17), because both lines pass through this point(D) (5, 17), because the point does not lie on any axis

Answer:C)Step-by-step explanation:We are given with a pair of linear equations,y=x+12y=3x+2Let us solve them for x and yIn order to solve them we subtract first equation from the second ,0=2x-10Adding 2x on both sides we get2x=10Dividing both sides by 2 we getx=5Now replacing this value of x  in first equationy=5+12=17Hence the solution of the two equations is (5,12)And by solution of a linear pair of equations, we mean that both the lines passes through that point.