Solve the system of equations: 9y + 8z = -2, 5z = -4y - 11

Solution for system (e):

Step-by-step solution:

1. Step 1: Rearrange the second equation.
   The second equation is 5z = -4y - 11.
   Let's rearrange it to solve for z: z = (-4y - 11) / 5.
2. Step 2: Substitute the expression for 'z' into the first equation.
   The first equation is 9y + 8z = -2.
   Substitute z: 9y + 8 * ((-4y - 11) / 5) = -2.
3. Step 3: Solve for 'y'.
   Multiply the entire equation by 5 to eliminate the fraction:
   5 * (9y) + 5 * (8 * ((-4y - 11) / 5)) = 5 * (-2)
   45y + 8 * (-4y - 11) = -10
   45y - 32y - 88 = -10
   13y - 88 = -10
   13y = -10 + 88
   13y = 78
   y = 78 / 13
   y = 6
4. Step 4: Substitute the value of 'y' back into the rearranged second equation to solve for 'z'.
   z = (-4y - 11) / 5
   z = (-4 * 6 - 11) / 5
   z = (-24 - 11) / 5
   z = -35 / 5
   z = -7

Answer: y = 6, z = -7