Question

Complete the following activity to solve the simultaneous equations

3x + 2y = 6 and 2x + 4y = 12 by cramer's method

Answer 1

Answer:

Step-by-step explanation:

3x + 2y = 6

2x + 4y = 12

 D = | 3   2|  =  (3x4) - (2x2) = 12 - 4 = 8

        | 2   4|

 Dx =   | 6     2| =(6x4)-(2x12) = 24-24 = 0

            | 12   4|

  Dy =  | 3   6  |  = (3x12)-(6x2)   =  36-12 = 24    

            | 2   12 |              

X = Dx/D = 0/8 = 0

Y = Dy/D = 24/8 = 3

Answer 2

Step-by-step explanation:

3x+2y=6

2x+4y= 12

D={3,2} =(3×4)-(2×2)

12-4=8 [2,4]

DX={6,2} (6×4)-(2×12)

24-24=0

{12, 4}

Dy = {3,6}= (3×12)-(6×2)

36-12=24 {2,12}

x= Dx/D = 0/8 = 0

y= Dy/D = 24/8 =3