Question

Lines C and D are represented by the equations given below:

Line C: y = x + 8
Line D: y = 3x + 2
Which of these shows the solution to the system of equations and explains why?
(3. 11), because the point does not lie on any axis
(3, 11), because both lines pass through this point
(4, 14), because one of the lines passes through this point
(4.14), because the point lies between the two axes

Answer 1

(3, 11), because both lines pass through this point

Explanation:

x = y - 8

y = 3(y -8) + 2

y = 3y - 24 + 2

y - 3y = -22

-2y = -22

y = 11

11 = x + 8

x = 11 - 8

x = 3

Answer :- (3,11)