Answer:12 more than 6 time the second
Step-by-step explanation:
Here's how to translate from English to algebra
one number IS two less than another
X = Y-2
twice the first is 12 more than 6 times the second
2x = 12 + 6y
2 x = 6y +12 <--- commutative property of subtraction; can switch them
2(y-2) = 6y + 12 <---- substitutes the first equation into the second
2y - 4 = 6y + 12 <--- distributive left side
0 = 6y + 12 - 2y + 4 <---- everything to the right side; changes signs in the process
0 = 4y + 16 <--- combines like terms
-16 = 4y <--- subtracts 16 from both sides
y = -4 <--- divides both sides by 4
Then
x = -4 - 2 = -6
CHECK:
y - 2 = -4 - 2= -6 = x <--- yes, it works; one number is 2 less than the other.
2(-6) = 12 + 6(-4) ---> -12 = 12 + -24 ; yes it works!! twice the first is in fact 12 more than 6 time the second
