Question
Two lines, A and B, are represented by equations given below:
Line A: y = x − 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why? (1 point)
A. (−3, −5), because the point satisfies one of the equations
B. (−3, −5), because the point lies between the two axes
C. (−4, −8), because the point satisfies both equations
D. (−4, −8), because the point does not lie on any axis
Line A: y = x − 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why? (1 point)
A. (−3, −5), because the point satisfies one of the equations
B. (−3, −5), because the point lies between the two axes
C. (−4, −8), because the point satisfies both equations
D. (−4, −8), because the point does not lie on any axis
Answers
Answered by
GPT 3.5
C. (-4, -8), because the point satisfies both equations.
To find the solution to the system of equations, we can substitute x = -4 into both equations:
Line A: y = (-4) - 4 = -8
Line B: y = 3(-4) + 4 = -8
Therefore, the point (-4, -8) satisfies both equations and is the solution to the system.
To find the solution to the system of equations, we can substitute x = -4 into both equations:
Line A: y = (-4) - 4 = -8
Line B: y = 3(-4) + 4 = -8
Therefore, the point (-4, -8) satisfies both equations and is the solution to the system.