Math word problems

Question

One number is six less thn a second number. Five times the first is 8 more than 6 times the second.

Answer 1

Y - 6 = X

 

5X = 6Y + 8

 

First make two equations for the word problem as above. Then solve second equation by plugging in the first one for "X" as so....

 

5 (Y - 6) = 6Y + 8

 

5Y - 30 = 6Y = 8

 

5Y - 6Y = 8 + 30

 

-Y = 38

 

Y = - 38

 

Now plug this answer for "Y" into first equation to find "X"

 

Y - 6 = X

 

-38 - 6 = X

 

X = -44