the sum of two numbers are 12 and the difference of two numbers are 14. find the two numbers.

Question

 i need it answered really fast

Answer 1

We can set up 2 equations and substitute one variable for another to solve

 

x+y = 12   and

x-y = 14

 

if we solve for x in the second equation

 

x = 14 + y

 

then plug that into the first equation

 

(14+y)+y = 12

 

simplify and solve

 

14 + 2y = 12

        2y = 12-14

        2y = -2

          y= -1

 

x = 14 + y

x = 14 + (-1)

x = 13

 

check

 

13+-1 = 12

13- -1 = 14