Question

3x÷2_5y÷3=_2 x÷3+y÷2=13÷6 solve this by substitution

Answer 1

Answer:

☑ 3x / 2 - 5y/3 = -2

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

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

☑ x /3 + y /2 = 13/6

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

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

x = (13 - 3y) /2

put this value of x in equation (1)

9((13 - 3y) /2 ) - 10y = - 12

(177 - 27y )/ 2 ) - 10y = -12

177 - 27y - 20y = -24

177- 27y = -24

- 27y = -24- 177

-27y =- 201

y = -201/-27

y = 67 / 9

put this value of y in equation (2)

2x + 3 ( 67/9) = 13

((2x) x 9)+ 201= 13 x 9

18x = 177 - 201

18x = - 24

x = -24 /18

x =- 8/6 = 4 / 3

x =- 4/3