One number is six less than a second number. Six times the first is 12 more than 3 times the second. Find the numbers.

Question

math help

Answer 1

Y = X+6

 

6x - 12 = 3y

 

6x - 12 = 3(x+6) <--- substitutes

 

6x-12 = 3x + 18

 

6x - 12 - 3x = 18

 

3x - 12 = 18

 

3x = 30

 

x=10

 

y=10+6 = 16

 

6(10) - 12 = 60 - 12 = 48 = 3(16)

 

So yes, the numbers are 10 and 16