Problema Solution
The sum of two numbers, x and y, is 12. The difference of four times the larger number and two times the smaller number is 18. Which system of equations should you use to find the two numbers?
Answer provided by our tutors
The sum of two numbers, x and y, is 12.
x + y = 12
lets assume x > y
The difference of four times the larger number and two times the smaller number is 18.
4x - 2y = 18 divide both sides by
(4/2)x - (2/2)y = 18/2
2x - y = 9
to find x and y we should solve the following system of equations
x + y = 12
2x - y = 9