What is the y-coordinate of the solution for the system of equations?

{x-u=12

{27+3y=2x

enter your answer in the box.

The y-coordinate of the solution for the system of equations is - 3

Step-by-step explanation:

* Lets explain how to solve the system of equations

- We can solve the system of equations by the elimination method

# Eliminate one of the two variables by equating the coefficient of it

in the two equations with opposite signs

# Add the equations and find the value of the other variable

# Substitute its value in one of the two equations to find the

eliminated variable

* Lets solve the problem

- The system of the equations are:

∵ x - y = 12 ⇒ (1)

- Lets arrange the terms in the other equation

∵ 27 + 3y = 2x ⇒ subtract 3y from both sides

∴ 27 = 2x - 3y ⇒ switch the two sides

∴ 2x - 3y = 27 ⇒ (2)

- Multiply equation (1) by - 2 to eliminate x

∴ x (-2) - y (-2) = 12 (-2)

∴ - 2x + 2y = - 24 ⇒ (3)

- Add (2) and (3)

∵ 2x - 3y = 27 ⇒ (2)

∵ - 2x + 2y = - 24 ⇒ (3)

∴ - y = 3 ⇒ multiply both sides by - 1

∴ y = - 3

* The y-coordinate of the solution for the system of equations is - 3