Sam is 12 years older than Matt. Five years ago the sum of their ages was 28. How old are they now?

Write a system of equations to represent this situation.

Define your variables

y=x+12

(y-5) + (x+5)=28, where x = present age of Matt ( in years).

and  y= present age of Sam.

Step-by-step explanation:

Let x be the present age of Matt ( in years).

and  Sam's present age = y years

5 years's ago,

Sam's age = y-5 years

Matt's age = x-5 years

As per given,

y=x+12     (i)

and (y-5) + (x+5)=28   (ii)

Required system of equations:

y=x+12

(y-5) + (x+5)=28, where x = present age of Matt ( in years).

and  y= present age of Sam.

d≈7.07in

step-by-step explanation:

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula