The sum of two numbers is 14 and their difference is 10. Please help me and my daughter finish her homework.

Question

PLEASE HELP im in severe help for math problemos

Answer 1

Hello!

First, set up a system of equations with the information given:

2 numbers (x and y)

x+y = 14

and x-y + 10

If you each equation by positive 2, one gets 2x+2y = 28 and 2x-2y = 20

The 'y-terms' cancel out or equal zero when adding, so 4x = 48, divide by 4 on each side and x or the first number equals 12.

Plug 12 back into the equation for 'x' and subtract 12 on both sides so that y=2

The difference of 12-2=10 and the addition of 12 and 2 equals 14

Cool, huh!? I hope that this helps out your daughter's understanding.

Kind regards,

Don M.