Question 1173551

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Hi,
Two numbers differ by 5. The quotient of the larger number(y) and 2 is 13 more than twice the smaller number(x)
Let x represent the smaller number and y represent the Larger:
Write as You Read: x 
 y - x = 5
 y/2 = 2x + 13

 y -  x = 5
 y/2 -2x = 13   |Multiply 2nd EQ by -2 to eliminate y

 y -  x = 5
 -y + 4x = -26
    3x = -21
     x = -7, the smaller number.   Larger numbers is  -2  {{{y = x+5}}}
Checking our Answer:
 y/2 = 2x + 13
 -1 = -14  + 13  checks
Wish You the Best in your Studies.