Question

Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?

Answer 1

1. x-3 = -2x + 1 , so we can get x = 4/3
2. y = x - 3 = -5/3
3.The coordinates would be C (4/3, -5/3)

Answer 2

Answer: The right option is C

Explanation: The equations that we have are:

y = x-3

y = -2x + 1

to solve this, we can remove one of the variables in one of the equations; we know that y = x- 3 and y = -2x + 1, so we must have:

x - 3 = -2x + 1

and we can solve it for x:

3x = 1 + 3 = 4

x = 4/3

Now we replace this value in the first equation:

y = 4/3 - 3 = -5/3

So the pair is: (4/3, -5/3), and the right option is C.