eq1 y = 2x + 3

Question

eq2 y = 1x + 2

What is the solution for eq1 and eq 2? Remember we are looking for the "common" x and y pairs that solve BOTH equations.
Are any of the following (x,y) pairs a solution to the above systems of equations? (2, 4) ? (-1, 1) ? Why?

Answer 1

set y = y
2x+3 = x+2
x = -1
sub back into either original equation
y = x+2 ---> y = -1+2 = 1

so x=-1, y = 1 is the solution

sub those values back into both equations, they work for both

(2,4) works in the 2nd but not the 1st.