Question

What is the solution to the system of equations? x+y=5 x-2y=2 (_,_)

Answer 1

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)