How do you solve this algebraic equation using graphing?

Question

y = 3x - 1
y = -x + 1

Answer 1

y = 3x - 1
y = -x + 1

Find points for each equation, then plot the points for each, draw a line connecting these points for each equation.

The point of intersection is the solution.

y = 3x - 1
x = 0, y = -1
x = -1, y = -4
x = 1, y = 2
x = 1/2, y = 1/2
So, you would plot the points,
(0,-1), (-1,-4), (1,2), (1/2, 1/2) and draw a line through these points.

y = -x + 1
x = 0, y = 1
x = -1, y = 2
x = 1, y = 0
x = 1/2, y = 1/2
Plot the points,
(0,1), (-1,2), (1,0)
and draw a line through these points.

The point of intersection is the solution. The P(x,y) will satisfy both equations.