Question

Two lines, A and B, are represented by the equations given below:

Answer 1

Answer:  (−5, −11), because the point satisfies both equations

Step-by-step explanation:

The given system of equations of line A and B is :

Line A: $y = x- 6$

Line B: $y = 3x + 4$

To find the solution of the above system, we need to find the intersection point such that the point satisfies both equations.

Using elimination method, eliminate equation of Line A from equation of Line B, we get

$0=2x+10\\\\\Rightarrow\ 2x=-10\\\\\Rightarrow\ x=-5$

Put x = -5 in equation of Line A , we get

$y=-5-6=-11$

Hence, the solution to the system of equations is (-5,-11) because the point satisfies both equations.

Answer 2

Answer:

(−5, −11), because the point satisfies both equations

Step-by-step explanation:

A solution to a system is always the ordered pair that satisfies both equations. So this explanation is the only one that would make sense.