Question

Solve by the method of substitutions 3x + 2y = 3,3y - 2x = 2

Answer 1

Answer:

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

3x = 3-2y

x = 3-2y/3

3y- 2x = 2.......(ii)

putting the value of x in eq. (ii)

3y - 2(3-2y/3) = 2

3y - 6 +6y/ 3 = 2

9y - 6+ 6y = 6

9y+6y = 6+ 6

15y = 12

y = 12/15

y = 4/5

putting the value of y in eq. (i)

3x + 2y =3

3x = 3-2y

3x = 3-2(4/5)

3x = 3- 8/5

3x = 15 - 8 /5

3x = 7/5

x = 7/5*1/3

x = 7/ 15