Question

254x+309y=-55 309x+254y=55 solve​

Answer 1

Given that,

254x + 309y = - 55  ------ (i)

 309x + 254y = 55. -------- (ii)

To find,

The value of x & y.

Solution,

Now, add both the equation (i) & (ii)

We get,

563x + 563 y = (-55 + 55) = 0563x+563y=(−55+55)=0

Now, 

563x = -563 y.563x=−563y.

Now cancel 563 both the sides.

Then,

x = -y  &  x+y = 0.

Now,  Substitute x value in any one equation,

Then,

254(-y) + 309y = -55254(−y)+309y=−55

55 y = -55.55y=−55.

⇒ y= \frac{-55}{55} = -1y=55−55=−1

We know that, 

x + y = 0.        ( Substituting y value)

x - 1 = 0.

Then, x = 1.

Therefore  x is 1, & y is -1.