Mathematics
Grade-8
Easy

Question

4x – 4y = 4
x – 3y = 5

  1. -1, 2
  2. -1, -3
  3. 1, -2
  4. -1, -4

hintHint:

The Linear Combination Method, aka The Addition Method , aka The Elimination Method. Add (or subtract) a multiple of one equation to (or from) the other equation, in such a way that either the x-terms or the y -terms cancel out. Then solve for x (or y, whichever's left) and substitute back to get the other coordinate.

The correct answer is: -1, -3


    There are different methods for solving simultaneous linear Equations:
    I. Elimination of a variable
    II. Substitution
    III. Cross-multiplication
    IV. Evaluation of proportional value of variables 
    Here, we will be using Elimination of a variable method.
    Here, we have 2 equations
    4x – 4y = 4                      (1)
    x – 3y = 5                 (2)
    Multiplying 4 in equation(2) , we get:
    cross times(x - 3y = 5) = 4x -12y = 20           (3)
    Substracting equation (1) and (3),
    4x – 4y = 4
    -
    4x -12y = 20
    ___________
    = 8y = -16
    y= -2
    Substitute the value of y in equation (2), we get:
    x - 3(-2) = 5
    x= -1
    Thus , (x, y) = (-1, -2)

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