marberman
contestada

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

Line A: y = x − 6
Line B: y = 3x + 4

Which of the following shows the solution to the system of equations and explains why?

(−5, −11), because the point satisfies both equations
(−5, −11), because the point does not lie on any axis
(−3, −5), because the point satisfies one of the equations
(−3, −5), because the point lies between the two axes

Respuesta :

MrGumby

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.

JeanaShupp

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: [tex]y = x- 6[/tex]

Line B: [tex]y = 3x + 4[/tex]

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

[tex]0=2x+10\\\\\Rightarrow\ 2x=-10\\\\\Rightarrow\ x=-5[/tex]

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

[tex]y=-5-6=-11[/tex]

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

Otras preguntas