What is the solution to the system of equations? y = 2x + 3 y = -x + 6

Answer 1

Since by the 2nd equation, we know that y is the same as 6-x, we can substitute that for y in the first equation:

y = 2x + 3 -> 6 - x = 2x + 3 -> 6 = 3x + 3 -> 3 = 3x -< x = 1 and by either of the two equations, that derives y = 5