Solve the system using elimination. 2x - 2y = -8 and x + 2y = -1

Solution:

The given system of equations are

2x - 2y = -8 --- (1)

x + 2y = -1 --- (2)

Using the elimination method

By adding both the equations

⇒ 3x = -9

Dividing both sides by 3

⇒ x = -3

Substituting value of x in equation (2)

⇒ -3 + 2y = -1

⇒ 2y = - 1 + 3

⇒ 2y = 2

Dividing both sides by 2

⇒ y = 1

Therefore, the solution to the system of equations is (-3, 1).

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Solve the system using elimination. 2x - 2y = -8 and x + 2y = -1

Summary:

Solving the system using elimination 2x - 2y = -8 and x + 2y = -1 the solution is (-3, 1).