Write a system of linear equations that has the ordered pair as its solution (3,5)

An easy way to do this is by using the simplest equations you can:

x + y and x - y

(3, 5) is (x, y). all you have to do is plug those into your equations and get a result, so:

x + y = 8

(because 3 + 5 = 8)

x - y = - 2

(because 3 - 5 = - 2)

and those can serve as your system of equations.

you can check it by solving by substitution:

x - y = - 2

x + y = 8

solve one of the equations for a single variable:

x = y - 2

plug it into the second equation:

(y - 2) + y = 8

y - 2 + y = 8

2y - 2 = 8

2y = 10

y = 5

then plug that result back into the equation:

x + y = 8

x + 5 = 8

x = 3