Question

Applications of Solving Systems of Equations
Find the two numbers whose sum is 51 and whose difference is 13.
show work and check step please

Answer 1

x+y=51
x-y=13
Add both equations: x+x+y+(-y)=51+13, thus:2x=64, then
x=32 and y=32-13=19
Check: 32+19=51 and 32-19=13

Answer 2

set up the equations 1st number x 2nd number y

x + y = 51
x - y = 13

add the 2 equations to eliminate y

2x = 64

I'll let you finish it...

when you have x, you should be able to find y by substituting into either eqauation

Answer 3

thank you all