Question

if 3x-2y equal 5 -2x+3y equal 3 then find the value of x and y​

Answer 1

Step-by-step explanation:

3x - 2y = 5

2y = 3x - 5

y = (3x - 5 )/2

Now putting the value of y in the other equation

- 2x + 3y =3

-2x + 3 ( 3x - 5)/2 =3

-2x + (9x - 15)/2 = 3

(-4x + 9x - 15) /2 = 3

5x - 15 = 6

5x = 15 + 6

x = 21/5

Hence y = (3x - 5)/2

y = (3*21/5 - 5)/2

y = (63/5 - 5)/2

y = (63 - 25)/5*1/2

y = 38/5 * 1/2

y = 19/5

Answer 2

Step-by-step explanation:

Given,

3x-2y = 5-2x+3y = 3

=>3x - 2y =3

=> 3x = 3+2y

=> x = (2y+3)/3 =>(1)

Now,

5-2x+3y = 3

=> 2x-3y =5-3

=>2x-3y =2

=> 2 [(2y+3)/3] - 3y=2 (from (1))

=> [(4y+6)/3] - 3y =2

=> (4y+6-9y)/3 =2

=>6-5y = 6

=> 5y =6-6

=> y= 0/5

=> y =0

Sub y=0 in (1)

x= (2y+3)/3

x= (2(0) +3)/3

x= 3/3

x= 1

Therefore, x=1,y=0