SOLUTION: Five time the larger of two numbers. plus four times the smaller is 271. Three times the larger less twice the smaller is 261. Find the numbers.

Question 950889: Five time the larger of two numbers. plus four times the smaller is 271. Three times the larger less twice the smaller is 261. Find the numbers.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

let the larger of two numbers be and the smaller
five time the larger of two numbers plus four times the smaller is:
.....eq.1
if three times the larger less twice the smaller is , then
.....eq.2
solve the system:
.....eq.1
.....eq.2.....both sides multiply by
---------------------
.....eq.1
.....eq.2
---------------------------add both eq.1 and eq.2

go to .....eq.2 substitute

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