What is the solution of the system?

{2x+y=15

{x-y=3

We could use substitution method to solve the problem since it's much easier on this system.

First, we need to change x to the value of y. Use the second equation.

x - y = 3

x = 3 + y

Second, subtitute 3 + y to the x in the first equation

2x + y = 15

2 (3 + y) + y = 15

6 + 2y + y = 15

6 + 3y = 15

3y = 15 - 6

3y = 9

y = 3

Third, we already found y, now subtitute 3 to y in the first equation to find the value of x

x = 3 + y

x = 3 + 3

x = 6

The solution = (6,3)

x = 6

y = 3

X=6 AND y = 3

(6,3) in ordered-pair form