SOLUTION: How do i solve using a system of two equations in two variables? Adam is 5 years younger than Eve. In one year, Eve will be 3 times as old as Adam was 4 years ago. Find their ag

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Question 141295This question is from textbook algebra 1
: How do i solve using a system of two equations in two variables?
Adam is 5 years younger than Eve. In one year, Eve will be 3 times as old as Adam was 4 years ago. Find their ages now?
This question is from textbook algebra 1

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

How do i solve using a system of two equations in two variables?

Adam is 5 years younger than Eve. In one year, Eve will be 3 times as old as Adam was 4 years ago. Find their ages now?

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Adam is 5 years younger than Eve.

That says:
A is 5 less than E or

A = E take away 5

A = E - 5


>>...In one year, Eve will be 3 times as old as Adam was 4 years ago...<<



That says:


If we add 1 to E we'll get 3 times A take away 4


or


E plus 1 equals 3 times A-4


E+1 = 3(A - 4)


So we have the system of equations:


E+1 = 3(A - 4)

A = E - 5


Can you solve that system by substitution? If not

post again asking how.


Answer: E = 14, A = 9