Question

3x/2-5y/3=-2.
x/3+y/2=13/6​

Answer 1

Answer:

x = 2 and y = 3

Step-by-step explanation:

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

(9x - 10y)/6 = -2

9x - 10y = -2 × 6

9x - 10y = -12 -----------(1)

x/3 + y/2 = 13/6

(2x + 3y)/6 = 13/6

2x + 3y = 13/6 × 6

2x + 3y = 13 -----------(2)

on multiply by 3 in eq 1 and 10 in eq 2

3(9x - 10y = -12)

27x - 30y = -36 --------(3)

10(2x + 3y = 13)

20x + 30y = 130 ----------(4)

on adding eq 3 and 4

27x - 30y = -36

20x + 30y = 130

47x = 94

x = 94/47

x = 2

put x in eq 2

2x + 3y = 13

2(2) + 3y = 13

4 + 3y = 13

3y = 13 - 4

3y = 9

y = 9/3

y = 3