Question

The point (5, -3) is a solution to which system of equations?(1 point)

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

y=x+2
y=x+5

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

y=x-8
2x+y=7

Answer 1

y = x + 2
2x + y = 7
this is not even one of the options

Answer 2

The point (5, -3) is a solution to the system of equations:

y = x + 2
2x + y = 7

Answer 3

Apologies for the mistake. Let's go through the options again.

y = 2/3x + 6:
If we substitute x = 5 and y = -3 into this equation, we get -3 = 2/3(5) + 6, which simplifies to -3 = 10/3 + 6. This equation is not true, so (5, -3) is not a solution to this system of equations.

3y + 6y - 18 = 0:
If we substitute y = -3 into this equation, we get 3(-3) + 6(-3) - 18 = 0, which simplifies to -9 - 18 - 18 = 0. This equation is not true, so (5, -3) is not a solution to this system of equations.

y = x + 2:
If we substitute x = 5 and y = -3 into this equation, we get -3 = 5 + 2, which simplifies to -3 = 7. This equation is not true, so (5, -3) is not a solution to this system of equations.

y = -1/2x + 6:
If we substitute x = 5 and y = -3 into this equation, we get -3 = -1/2(5) + 6, which simplifies to -3 = -5/2 + 6. This equation is true, so (5, -3) is a solution to this system of equations.

Therefore, the point (5, -3) is a solution to the system of equations:

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