Search 74,112 tutors
FIND TUTORS
Ask a question
0 0

The second of two numbers is 6 less than 4 times the first number. The sum of the first and second number is 14. Find the numbers

Tutors, please sign in to answer this question.

1 Answer

Good evening. The first statement can be written mathematically this way: y=4x-6
The second part can be written as x+y=14
 
If you substitute the first for the second (the 4x-4 for the y in the second equation), you get
 
x + (4x-6) = 14 and you can simplify
 
5x -6 = 14
 
Add 6 to both sides to maintain the equality
 
5x=20
 
Divide by 5
 
x=4
 
Now plug 4 into one of the initial equations:
 
4 + y = 14   and solve
 
Subtract 4 from both sides and you get
 
y = 10
 
So the numbers are 4 and 10
 
Hope this helps
 
Mike

Woodbridge algebra 1 tutors