Question 6187
1  3/2x+4=-9
   3/2x=-9-4
   3/2x=-13
   3=-13(2x)
   3=-26x
   x=-3/26
   
2  2(3x-7)+4x=26
   6x-14+4x=26
   10x=26+14
   10x=40
   x=40/10
   x=4

3  4-3x=5-6x-7
   4-3x=-2-6x
   4+2=3x-6x
   6=-3x
   x=6/-3
   x=-2 

8 solve the equations : y=2x+5 and 3x-2y=10
  y=2x+5 ---- eq.1
  3x-2y=10 -----eq.2

  Substituting 'y' from equation 1 in equation 2:
  3x-2(2x+5)=10
  3x-4x-10=10
  -x-10=10
  x=-10-10
  x=-20
  
  Substituting 'x' in equation 1:
  y=2(-20)+5
  y=-40+5
  y=-35


9 solve the equations : 6x-3y=11 and 6x+3y=17
  6x-3y=11 ---- eq.1
  6x+3y=17 ---- eq.2

  Solving by elimination method:
  12x=28
  x=28/12
  x=7/3
  
  Substituing 'x' in equation 1:
  6(7/3)-3y=11
  14-3y=11
  y=1

10 solve the equations 3x+5y=22 and 4x+3y=11
   3x+5y=22 ---- eq.1
   4x+3y=11 ---- eq.2
 
   From eq. 1:
   x=(22-5y)/3 ----eq.3
   
   Substituing 'x' in equation 2:
   4((22-5y)/3)+3y=11
   (88-20y)/3 +3y=11
   88-20y+9y=33
   -11y=-55
   y=5

   Substituing 'y' in equation 3:
   x=(22-5(5))/3
   x=(22-25)/3
   x=-3/3
   x=-1