Question

15x – 14y = 117
14x – 15y = 115
solve the following simultaneous equation using elimination methord​

Answer 1

Answer:

15x - 14y = 117 .......(1) let it be equation 1

14x - 15y = 115 ......(2) let it be equation 2

Adding both the equations (1) and (2) we get ,

15x - 14y = 117

(+) 14x - 15y = 115

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29x - 29y = 232

Dividing both sides by 29 we get

x - y = 8 .......... (3)

Now subtracting equation (2) from (1) we get ,

15x - 14y = 117

(-) 14x - 15y = 115

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x + y = 2 .........(4)

Now Adding equation 3 and 4 we get,

x - y = 8

(+) x + y = 2

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2x = 10

hence, x = 5

x + y = 2

5 + y = 2

y = 2-5

= -3

Hence x = 2 and y = -3

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