Question

Solve the system of equations:

2x - 3y = -1
y = x - 1
A) x = 2, y = 1
B) x = -1, y = 0
C) x = 0, y = -1
D) x = 1, y = 2

Answer 1

The system of equations given is solved by substitution, resulting in x = 4 and y = 3. Neither of these values matches the options provided by the student, indicating a potential mistake in the question or the answer choices.

Step-by-step explanation:

To solve the system of equations:

• 2x - 3y = -1
• y = x - 1

We can use substitution since the second equation gives y in terms of x directly. Plugging the expression for y from the second equation into the first:

1. 2x - 3(x - 1) = -1
2. 2x - 3x + 3 = -1
3. -x + 3 = -1
4. x = 4

Now we substitute x back into the second equation to find y:

1. y = 4 - 1
2. y = 3

Thus, the solution to the system of equations is x = 4, y = 3, which is not listed among the provided options and suggests a possible typo in the options or in the system provided by the student.