one number is nine more than a second number. six times the first is 12 less than 4 times the second. find the numbers

Question

Math 

Answer 1

x: the first number

y: the second number

 

x=y+9

6x=4y-12

 

6(y+9)=4y-12

6y+54=4y-12

2y=-66

y=-33

x=-24

Answer 2

one number is nine more than a second number.

 

 

N=M+9

 

six times the first is 12 less than 4 times the second.

 

 

6N=4M-12

 

find the numbers

 

Use substitution to eliminate N

 

 

 

6(M+9)=4M-12

 

Solve for M

 

2M=-66

M=-33

 

Remember 

 

N=M+9=-33+9

N=-24

 

Check

 

6(-24)=4(-33)-12

 

Yep that's true!