Question

activity 1: To solve the simultaneous equations by determinant method
y + 2x - 19 = 0 ; 2x - 3y + 3 = 0
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Answer 1

Answer:

x=27/4 and y=11/2 is th solution of given simultaneousl equation

Answer 2

Question :-

To solve the simultaneous equations by determinant method

y + 2x - 19 = 0 ; 2x - 3y + 3 = 0

__________________________

Required Answer :-

Given:-

y + 2x - 19 = 0

2x - 3y + 3 = 0

By arranging both the equations in standard form :-

ax + by = c

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-2x + y = 19 -(i)

2x - 3y = -3 -(ii)

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D = -2 1

2 -3

D = (-2 x -3) - (2 x 1)

D = 6 - 2

D = 4

__________________________

Dy = -2 19

2 -3

Dx = (-2 x -3) - (19 x 2)

Dx = 6 - 38

Dx = -32

___________________________

Dx = 19 1

-3 -3

Dx = (19 x -3) - (-3 x 1)

Dx = -57 + 3

Dx = -54

___________________________

x = Dx/D

x = -54/4

x = -13.5

y = Dy/D

y = -32/4

y = -8

___________________________

therefore solution for (x, y) is ( -13.5,-8)