Question 916515
a is the larger number
b is the smaller number
a/b = 6


a+8 = 4b
subtract 8 from both sides of the equation to get:
a = 4b-8


replace a with 4b-8 in the equation a/b = 6 to get:
(4b-8)/b = 6
multiply both sides of the equation by b to get:
4b-8 = 6b
subtract 4b from both sides of the equation to get:
-8 = 2b
divide both sides of the equation by 2 to get:
-4 = b which is the same as b = -4


since a = 4b-8, and b = -4, then you get:
a = 4(-4)-8 = -24


you have a = -24 and b = -4
a/b = 6 becomes -24/-4 = 6 which becomes 6 = 6
this confirms the values of a and b are good.