What is the y-value of the solution to the following system of linear equations?y = x + 8x + 2y = 1

To find the y-value of the solution to the system of linear equations, we first need to solve the system. Here are the steps:

1. The system of equations is:

   y = x + 8 x + 2y = 1

2. Substitute the first equation (y = x + 8) into the second equation:

   x + 2(x + 8) = 1 x + 2x + 16 = 1 3x + 16 = 1

3. Solve for x:

   3x = 1 - 16 3x = -15 x = -15 / 3 x = -5

4. Substitute x = -5 into the first equation to solve for y:

   y = -5 + 8 y = 3

So, the y-value of the solution to the system of linear equations is 3.