Question

Use the graph method to solve the system of linear equations:

Answer 1

$\left\{\begin{array}{ccc}2x+y=3&|-2x\\x+y=3&|-x\end{array}\right\\ \left\{\begin{array}{ccc}y=-2x+3\\y=-x+3\end{array}\right\\\\y=-2x+3\\for\ x=0\to y=-2(0)+3=3\to(0;\ 3)\\for\ x=3\to y=-2(3)+3=-6+3=-3\to(3;-3)\\\\y=-x+3\\for\ x=0\to y=-0+3=3\to(0;\ 3)\\for\ x=3\to y=-3+3=0\to(3;\ 0)\\\\Answer:\ C)\ (0;\ 3)$