Question

solve for x and y by substitution method 3 X upon 2 minus 5 Y upon 3 equal to minus 2 and X upon 3 + Y upon 2 equal to 13 by 6​

Answer 1

Step-by-step explanation:

3x/2 - 5y/3 = -2

x/3+y/2 = 13/6

9x-10y/6=-2

9x-10y=-12

2x +3y =13

subtracting equation 2 from 1

9x -10y-(2x + 3y) = -12-(13)

7x -7y = -15

7(x-y) = -15

x- y =-15/7

x=y -15/7

substituting the value of x in equation 1

3(y-15/7)/2 -5y/3 = -2

3y/2 -15/14 - 5y/3 = -2

9y - 10y/6 = -2 +15/14

- y/6 = -13/14

y = 39 / 7

find x yourself

Answer 2

Answer:

Step-by-step :

3x/2 - 5y/3 = -2

x/3+y/2 = 13/6

9x-10y/6=-2

9x-10y=-12

2x +3y =13

subtracting equation 2 from 1

9x -10y-(2x + 3y) = -12-(13)

7x -7y = -15

7(x-y) = -15

x- y =-15/7

x=y -15/7

substituting the value of x in equation 1

3(y-15/7)/2 -5y/3 = -2

3y/2 -15/14 - 5y/3 = -2

9y - 10y/6 = -2 +15/14

- y/6 = -13/14

y = 39 / 7

find x yourself