Question

The solution for a system of two linear equations is (0, 0). Which equation below could be one of the equations in the system?

y= 1/3x + 4
y = –3x
y = 4x – 5
y = 5 – x

Answer 1

The correct answer among all the other choices is y = –3x. This equation could be one of the equations in the system of two linear equations is (0, 0). Thank you for posting your question. I hope this answer helped you. Let me know if you need more help. 

Answer 2

The equation that could be one of the equations in the system can be obtained by simply plugging in the value of the point or solution that both equations share.

The only equation where the the solution can be of P(0,0) would be y = -3x

Y = -3x
0 = -3(0)
0 = 0.

Thus y = -3x has a possible solution of P(0,0) and is one of the equations of the system.