An equation of the form 7x+17y+3z=54.find the difference between x intercept and z intercept.

• This is an equation of a plane So x,y,z intercepts are the point at which the plane cuts or touches the 3 axes.
  So for x-intercept we will put y=z=0 and for z-intercept x=y=0;
  hence, x-intercept:
  =>7x+17(0)+3(0)=54
  =>x-intercept=54/7
  Similarly, z-intercept:
  =>7(0)+17(0)+3z=54
  =>54/3
  difference between x-intercept and z-intercept:
  54/7-54/3=-72/7
  ans; -10 2/7 or -72/7
• 10 years agoHelpfull: Yes(27) No(0)
• 7x+17y+3z=54
  => (1/54)*(7x+17y+3z)=1
  => x/(54/7)+ y/(54/17) + z/(54/3) = 1 -------(1)
  
  stantard eqn of plane in intercept form is: x/a + y/b + z/c = 1 , where a,b,c are x,y,z intercept respectively.
  
  comparing eqn(1) with standard eqn, we get
  x intercept=(54/7)
  y intercept=(54/17)
  z intercept=(54/3)
  
  difference between x intercept and z intercept = 54/7 - 54/3 = -72/7 = -10.28
• 10 years agoHelpfull: Yes(19) No(0)
• please provide another solution
• 10 years agoHelpfull: Yes(2) No(3)
• let x=y=z=2
  then 7*2 + 17*2 + 3*2 = 54
  hence 2 - 2 = 0
  ans = 0
• 10 years agoHelpfull: Yes(1) No(5)
• x=y=z= 2
  x intercept 8
  z intercept 18
  
  hence ans is 10
  
• 10 years agoHelpfull: Yes(0) No(11)
• pls provide another sol.
• 10 years agoHelpfull: Yes(0) No(2)
• ans:
  x intercept x/(54/7)
  y intercept y/(54/7)
  z intercept z/(54/3)
  54/7-54/3=(378-162)/21
  =72/2
• 10 years agoHelpfull: Yes(0) No(8)
• hit and trail
  y=2
  which leads to 7x +3z=20
  so x=2 and z=2 soln can be observed
  x-z=0
  ans is 0
• 10 years agoHelpfull: Yes(0) No(1)
• 7x+17y+3z=54
  now we can write in this way
  x/(54/7)+y/(54/17)+z/(54/3)=1
  so the difference between x intercept and z intercept is (54/7) - (54/3)= - 72/7
• 9 years agoHelpfull: Yes(0) No(0)