Question

HELP twice a number plus twice a second number is 310. The difference between the numbers is 55. Find the numbers by writing and solving a system of equations. Explain how you solved the system. PLEASE HELP ME Thank you!   I got numbers are 182.5 and 127.5 but I don't understand how to set up the system equations

Answer 1

Twice a number plus twice a second number is 310.
$2x + 2y = 310$

The difference between the numbers is 55.
$x-y = 55$

Divide the first equation by 2 to get a 3rd equation:
$x+y=155$

Add the second and third equations together:
$x-y=55$
$x+y=155$
$2x=210$
$x=105$

Put x=105 into the second equation to get:
$105-y=55$
$y=50$

So you're answers are x=105 and y=50.