Question

How to work out this linear stimultaneous equations

Answer 1

Explanation:

• extract the third equation from one of the given equation by making at most one variable with 1 as the coefficient the subject of the equation.
• 
  `x = 2 - y...........(3)`
• now substitute the third equation to the other equation *Not the one you extracted the new equation from*
• 
  `y = 2 ({2 - y})^(2) + (2 -y ) - 2`
• After substituting simplify
• 
  `y = 2(2 - y)(2 - y) + 2 - y - 2 \\ y = 2(4 - 2y - 2y + {y}^(2) ) + 2 - y - 2 \\ y = 2(4 - 4y + {y}^(2) ) - y \\ y = 8 - 8y + 2 {y }^(2) - y`
• Therfore group the terms in the form of a general Quadratic equation.