Question

Answer please and thanks

Answer 1

b = 32

Explanation:

In the given system of equations:

`y=4x-16`

`y=x^2-20x+128`,

b represents the y-coordinate of solution.

We can solve for the solution to the system of equations using substitution. We can see that y is already solved for in the top equation, so we can plug the right side of that equation in for y in the bottom equation. Then, we can solve by factoring.

↓ plugging in for y

`4x-16=x^2-20x+128`

↓ moving everything to one side

`0=x^2-24x+144`

↓ factoring

`0 = (x-12)(x-12)`

`0=(x-12)^2`

↓ solving for x

x = 12

Now, we can solve for the y-coordinate of the solution by plugging the x-coordinate into one of the equations.

`y=4x-16`

`y = 4(12) - 16`

`y = 48-16`

y = 32

The y-coordinate of the solution is 32. Therefore, b = 32.