Question

Show that (2, 1) is a solution of the system of equations. x + 3y = 5, y = –x + 3 Substitute (2, 1) into x + 3y = 5 to get . Simplify the equation to get . Substitute (2, 1) into y = –x + 3 to get . Simplify the equation to get .

Answer 1

I am not sure if I understand the question that clearly but if what I think is correct is that you need to prove that 2 and 1 are a system of equations for the following equations so this is how you do that:

With the coordinates (2,1) 2 will be x and 1 will be y because when dealing with coordinates (x,y) is how they are set up.

Next you substitute into the equations and solve:

(2) + 3(1) = 5 and 1 = -(2)+3

So now you find if the equations are true

2 + 3 = 5 so (2,1) is a solution for this equation

-2 + 3 = 1 so (2,1) is also a solution for this equation

So in conclusion (2,1) is a solution of the system of equations

Hope this helps :)