Question

The point (2,5) is a solution to which system of equations?(1 point)
Responses

A
y=x-8
2x+y=7

B
y=-1/2x+6
y=3x-1

C
y=x+2
y=x+5

D
y=2/3x+6
3y+6x-18=0

Answer 1

To determine which system of equations the point (2,5) is a solution to, we can substitute the x and y values of the point into each equation of the system and see if the equations hold true.

Let's start with option A:

A:
y = x - 8 --> 5 = 2 - 8 is not true
2x + y = 7 --> 2(2) + 5 = 9 is not true

Since neither equation in option A holds true for the point (2,5), option A is not the correct system of equations.

Let's move on to option B:

B:
y = -1/2x + 6 --> 5 = -1/2(2) + 6 is true
y = 3x - 1 --> 5 = 3(2) - 1 is true

Both equations in option B hold true for the point (2,5). Therefore, option B is the correct system of equations.

The point (2,5) is a solution to system of equations B.