What is the value of y in the solution to the system of equations x + y = 1 and 2x + 3y = 30?

To find the value of y in the system of equations:

1. x + y = 1
2. 2x + 3y = 30

We can solve this system using the substitution or elimination method. Here, I’ll use the substitution method for clarity:

First, let’s solve the first equation for x:

x = 1 - y

Next, we substitute this expression for x in the second equation:

2(1 - y) + 3y = 30

This simplifies to:

2 - 2y + 3y = 30

Combining like terms gives us:

2 + y = 30

Now, we isolate y:

y = 30 - 2

y = 28

Thus, the value of y in the solution to the system of equations is 28.