To solve the system of equations, we can use the method of substitution.
First, we can rewrite the second equation as:
-y = -2x + 2
Now, we can substitute the value of y from the first equation into the second equation:
-(x - 1) = -2x + 2
Expanding the parentheses:
-x + 1 = -2x + 2
Adding 2x to both sides:
x + 1 = 2
Subtracting 1 from both sides:
x = 1
Now that we have found the value of x, we can substitute it back into the first equation to find y:
y = x - 1
y = 1 - 1
y = 0
Therefore, the solution to the system of equations is (1, 0).
The correct response is: (1, 0) (or option 1).
What is the solution to the system of equations:
y=x−1
−x+y=2(1 point)
Responses
(1,0)open paren 1 comma 0 close paren
(0,2)open paren 0 comma 2 close paren
infinitely many solutions
infinitely many solutions
no solution
1 answer