If you solve the following system ,what is the value of y?
A) 2
B) -2
C) 1
D) -1
E) 5

Question

If you solve the following system  ,what is the value of y?
A) 2 
B) -2 
C) 1 
D) -1 
E) 5

Quizplus · Accepted Answer

First, we can simplify the first equation to just x + y = 3. Then, we can use substitution to solve for y. Substituting 2x-1 for x in the simplified equation, we get (2x-1) + y = 3, which simplifies to 2x + y = 4. Substituting 5 for 2x in the equation, we get 2(5) + y = 4, which simplifies to y = -6. However, this is not a solution to the original system as it does not satisfy the second equation. 
Repeat the steps using 1 as a substitution for 2x - 1. We get 1 + y = 3, which simplifies to y = 2. Substituting 1 for 2x - 1 in the second equation, we get 1 - y = 0, which means y = 1. Therefore, the solution to the system is x = 1 and y = 1.

If You Solve the Following System ,What Is the Value