Question

This is for algebra 1

My two numbers add up to 12. Three times my first number plus twice my second number is 29.

Which two numbers is she thinking of?
Show your work.

Answer 1

x+y=12 -- 1
3x+2y=29 -- 2

(1)x2
2x+2y=24 -- 1
(2)-(1)
x=5

Sub x into 1
x+y=12
5+y=12
y=7

Her two numbers are 5 and 7