Question

15x+17y=21;17x+15y=11

Answer 1

for this type of equations whose coefficients vary diagonally we try to reduce the terms
see the pic

Answer 2

The value for the x and y is -2 and 3.

Step 1: Given data

$15x + 17y = 21,$

$17x + 15y = 11$.

Step 2: To find

We have to find the value of x and y by comparing those two equation.

By seeing those equation the coefficient of x and y is diagonal. Let them reduce by adding and subtracting those equation. By those two new equation we easily find the value of x and y.

1) Addiction of two equation.

$15x + 17y = 21$    

$17x + 15y = 11$              

By adding we get,

$32x + 32y = 32$

  x + y = 1------------(1)

By subtracting we get,

$2x - 2y = -10$

   x - y = -5-----------(2)

By solving equation (1) and (2) we get

  2x = -4

    x = -2

substitute x = -2 in the equation 1

x + y = 1

-2 + y = 1

     y  = 1 + 2

    y = 3

Hence the value for the x and y is -2 and 3.

To learn more...

1) Find the value of x and y if (x+3,5)=(5,y)

https://brainly.in/question/4046936

2) If x+y=18 and x-y=2 find the value of x and Y

https://brainly.in/question/5109340