Question

Line A: y = x − 2

Line B: y = 3x + 4

Which of the following shows the solution to the system of equations and explains why?
(−3, −5), because the point does not lie on any axis (−3, −5), because the point satisfies both equations (−4, −8), because the point satisfies one of the equations (−4, −8), because the point lies between the two axes

Answer 1

`y=x-2 \\ y=3x+4 \\ \\ y=y \\ x-2=3x+4 \\ x-3x=4+2 \\ -2x=6 \\ x=(6)/(-2) \\ x=-3 \\ \\ y=x-2=-3-2=-5 \\ \\ (x,y)=(-3,-5)`

The solution to a system of equations must satsify both equations.

The answer is: (-3,-5), because the point satisfies both equations.