Which value of y forms the solution of the system defined by y = 11x + 1 and 11x + 12y = 12?

To find the value of y in the given system of equations, we need to solve the equations step by step.

The first equation is:

1. y = 11x + 1

Now, we can substitute the expression for y into the second equation:

2. 11x + 12y = 12

Substituting y from equation 1 into equation 2:

11x + 12(11x + 1) = 12

Now, distribute 12 into the parentheses:

11x + 132x + 12 = 12

Combining like terms gives us:

143x + 12 = 12

Next, we will isolate the term with x:

143x = 12 – 12

143x = 0

Now, divide both sides by 143:

x = 0

Now that we have the value of x, we can substitute it back into the first equation to find y:

y = 11(0) + 1

y = 1

So, the value of y that forms the solution of the system is y = 1.