Question

help please








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Answer 1

Answer:

8x + 5y = 9 -------- (i)

3x + 2y = 4 -------- (ii)

multiplying equation (i) by 2 & (ii) by 5

16x + 10y = 18-------- (iii)

15x + 10y = 20-------- (iv)

subtracting equation (iii) from (iv)

15x + 10y = 20-------- (iv)

16x + 10y = 18-------- (iii)

(-)__(-)____(-)_____

-x = 2

:. x = -2

subtitute x = -2 in equation (i)

8(-2) + 5y = 9

-16 + 5y = 9

5y = 9 + 16

5y = 25

y = 25 ÷ 5

:. y = 5

Answer :. (x,y) = (-2,5)

Q2

41x + 53y = 135 -------- (i)

53x + 41y = 147 -------- (ii)

Adding equation (i) & (ii)

41x + 53y = 135 -------- (i)

53x + 41y = 147 -------- (ii)

___________

94x + 94y = 282

dividing throughout by 94

x + y = 3 -------- (iii)

subtracting equation (i) by (ii)

53x + 41y = 147 -------- (ii)

41x + 53y = 135 -------- (i)

(-)__(-)____(-)_____

12x - 12y = 12

dividing throughout by 12

x - y = 1 -------- (iv)

Adding equation (iii) & (iv)

x + y = 3 -------- (iii)

x - y = 1 -------- (iv)

_______

2x = 4

x = 4÷2

:. x = 2

subtitute x = 2 in equation (iii)

2 + y = 3

y = 3 - 2

:. y = 1

Answer :. (x,y) = (2,1) is the solution of the given equation

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