Question

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y=3x-4 y=-2x+1

Answer 1

$\left\{\begin{array}{ccc}y=3x-4\\y=-2x+1\end{array}\right\\\\y=3x-4\\for\ x=0\to y=3(0)-4=-4\to(0;-4)\\for\ x=2\to y=3(2)-4=2\to(2;\ 2)\\\\y=-2x+1\\for\ x=0\to y=-2(0)+1=1\to(0;\ 1)\\for\ x=2\to y=-2(2)+1=-3\to(2;\ -3)$

Look at the picture.

Answer: x = 1; y = -1 → (1; -1)