SOLUTION: How do I solve using a system of equations in two variables? Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers i 21. Find the nu

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Question 141280This question is from textbook prentice hall algebra 1
: How do I solve using a system of equations in two variables?
Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers i 21. Find the numbers.This question is from textbook prentice hall algebra 1

Answer by oscargut(686) About Me  (Show Source):
You can put this solution on YOUR website!
let x and y the numbers and x the larger
Three times the larger of two numbers is equal to four times the smaller then 3x=4y
The sum of the numbers is 21 then
x+y=21
y=21-x
3x=4(21-x)
3x=-4x+84
7x=84
x=12
and y=21-12=9