Question

15x+17y=21 ;17x+15y=11 substitution method​

Answer 1

Answer:

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

Step 1: Given data

15x + 17y = 21,15x+17y=21,

17x + 15y = 1117x+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 = 2115x+17y=21

17x + 15y = 1117x+15y=11

By adding we get,

32x + 32y = 3232x+32y=32

x + y = 1------------(1)

By subtracting we get,

2x - 2y = -102x−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