4. Adam used elimination to solve the system of equations to the right and found the solution x=9. What is the corresponding value for y that creates the solution to the system?

Since Adam has already found the value of x, We just need to replace x into any of the equations and solve for y. So, let's replace the value of x into the 1st equation:
[tex]\begin{gathered} -4x+9y=9 \\ -4(9)+9y=9 \\ -36+9y=9 \end{gathered}[/tex]Add 36 to both sides:
[tex]\begin{gathered} -36+9y+36=9+36 \\ 9y=45 \end{gathered}[/tex]Divide both sides by 9:
[tex]\begin{gathered} \frac{9y}{9}=\frac{45}{9} \\ y=5 \end{gathered}[/tex]Answer:
y = 5