If x and y are integers, Then how many possible equations can be formed for

5|X| + 2|Y| = 100.

• 4 equations are formed since mod function are defined in this way +x whenx>0 and -x when x
• 9 years agoHelpfull: Yes(6) No(0)
• Ans- 9 possible equ.
  
  5x18 +2x5 =100
  5x16 +2x10=100
  5x14 +2x15 =100
  5x12 +2x20=100
  5x10 +2x25=100
  5x8 +2x30 =100
  5x6 +2x35=100
  5x4 +2x40=100
  5x2 +2x45 =100
  
  
  
  
  
  
• 9 years agoHelpfull: Yes(6) No(10)
• answer is 11
  0+100=100
  10+90=100
  ..
  ..
  ..
  ..
  100+0=100
  so total 11
• 9 years agoHelpfull: Yes(3) No(2)
• @Piya.. How comes 80??
• 9 years agoHelpfull: Yes(1) No(0)
• ans - 76 solutions
  (0,50)(0,-50) ------> 2 EQUATIONS
  (2,45)(-2,45)(-2,-45)(2,-45),(45,2)(-45,2)(-45,-2)(45,-2) ----> 8 equations
  (4,40)(-4,40)(-4,-40)(4,-40),(40,4)(-40,4)(-40,-4)(40,-4) ----> 8 equations
  (6,35)(-6,35)(-6,-35)(6,-35),(35,6)(-35,6)(-35,-6)(35,-6) ----> 8 equations
  (8,30)(-8,30)(-8,-30)(8,-30),(30,8)(-30,8)(-30,-8)(30,-8) ----> 8 equations
  (10,25)(-10,25)(-10,-25)(10,-25),(25,10)(-25,10)(-25,-10)(25,-10) ----> 8 equations
  (12,20)(-12,20)(-12,-20)(12,-20),(20,12)(-20,12)(-20,-12)(20,-12) ----> 8 equations
  (14,15)(-14,15)(-14,-15)(14,-15),(15,14)(-15,14)(-15,-14)(15,-14) ----> 8 equations
  (16,10)(-16,10)(-16,-10)(16,-10),(10,16)(-10,16)(-10,-16)(10,-16) ----> 8 equations
  (18,5)(-18,5)(-18,-5)(18,-5),(5,18)(-5,18)(-5,-18)(5,-18) ----> 8 equations
  (20,0)(-20,0) ------> 2 EQUATIONS
  
  All together 2+8+8+8+8+8+8+8+8+8+2 = 76
• 9 years agoHelpfull: Yes(1) No(3)
• 20,0 (+ + ; - +)
  18,5 (+ - ; + + ; - +; - -)
  16,10 (+ - ; + + ; - +; - -)
  14,15 (+ - ; + + ; - +; - -)
  12,20 (+ - ; + + ; - +; - -)
  10,25 (+ - ; + + ; - +; - -)
  8,30 (+ - ; + + ; - +; - -)
  6,35 (+ - ; + + ; - +; - -)
  4,40 (+ - ; + + ; - +; - -)
  2,45 (+ - ; + + ; - +; - -)
  0,50 (+ - ; + +)
  
  Total 4*9 + 2 +2 = 40 Ans :
• 9 years agoHelpfull: Yes(1) No(0)
• 80 equation ...
• 9 years agoHelpfull: Yes(0) No(1)
• Ans: 4
  Solution: 5x+2y=100, 5x-2y=100, 2y-5x=100, 5x+2y=-100.
• 9 years agoHelpfull: Yes(0) No(0)