What is the solution to the system of equations?

x+y=5

x-2y=2

(_,_)

You can use the substitution method. Using the first equation in terms of y,

y = 5 - x

Substitute this to the second equation to get the value of x.

x - 2 (5 - x) = 2

x - 10 + 2x = 2

3x = 2 + 10

3x = 12

x = 4

For y, just substitute the value of x that we have used in the first equation.

y = 5 - 4 = 1

Therefore, in coordinate form, that is (4,1)