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

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step-by-step explanation: