The sum of two numbers is 59 and the difference is 3. what are the numbers?

31 and 28

Step-by-step explanation:

Let x represent the first number.

Let y represent the second number.

x + y = 59

x - y = 3

Use substitution method to solve.

x = y + 3

y + 3 + y = 59

2y + 3 = 59

Subtract both sides by 3.

2y = 56

Divide both sides by 2.

y = 28

Let's find the second number.

59 - 28 = 31

Check

31 -28 = 3

Answer The two numbers are 28 and 31.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.