Question

What is the solution to the system of equations:

y=x−1

−x+y=2
(1 point)
Responses

(0,2)
open paren 0 comma 2 close paren

(1,0)
open paren 1 comma 0 close paren

infinitely many solutions
infinitely many solutions

no solution

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the system of equations, you can use the method of substitution.

First, solve one of the equations for one variable in terms of the other. Let's solve the second equation for x:

-x + y = 2
x = y - 2

Now substitute this expression for x in the first equation:

y = x - 1
y = (y - 2) - 1
y = y - 3

The equation x - 3 = 2 has no solution.

Therefore, the system of equations has no solution.