Question

solve the following system of Simultaneous linear equations by adding subtracting method
(i) 15x - 14y = 117
14x - 15 y = 115
please answer it ......very urgent.....

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Answer 1

Answer:

x=5 and y= -3

Step-by-step explanation:

We have two equations :

15x-14y=117 -(1)

14x-15y=115 -(2)

Adding (1) and (2)

15x - 14y + 14x - 15y =117 +115

29x - 29y = 232

29( x - y ) = 232/9

x - y = 8 - (3)

Subtracting (2)from (1)

15x-14y -(14x-15y) = 117 -115

15x -14y -14x+15y = 2

x + y = 2 - (4)

Adding (3) and (4)

x - y + x + y =2 +8

2x = 10

x = 10/2

x = 5

Put x = 5 in (3)

x - y = 8

5 - y = 8

- y = 8 - 5

- y = 3

y = -3

x=5 and y = - 3