Problema Solution
Write a system of equations modeling the given conditions. Then solve the system by the substitutuion method and find the two numbers.
The difference between two numbers is 1.
The sum of the larger number and twice the smaller number is 13. Find the numbers.
If x is the smaller number and y is the larger number, write an equation that reperesents the fact that the difference between the two numbers is 1.
_____=1(simplify your answer.)
Answer provided by our tutors
The difference between two numbers is 1.
let x- smaller no.
y- bigger no.
y-x =1
The sum of the larger number and twice the smaller number is 13.
y + 2x = 13
by substitution:
(y-x=1) -1
y+2x=13
3x= 12
x= 4
y= 5