Question

 

How do I solve the system of y=2x. 2x+y=4 graphically and indicate the method you used to plot the lines and show you work??  I  have to Check by substituting the answer back into the original also.

Answer 1

y = 2x

Point: (0,0)

Point: (1,2)

Draw a line connecting those two points.

.

2x + y = 4

y = -2x + 4

Point:  (0,4)

Point: (1,2)

Draw a line connecting those two points.

.

Graphed on graphsketch.com:  http://graphsketch.com/?eqn1_color=1&eqn1_eqn=2x&eqn2_color=2&eqn2_eqn=-2x%2B4&eqn3_color=3&eqn3_eqn=&eqn4_color=4&eqn4_eqn=&eqn5_color=5&eqn5_eqn=&eqn6_color=6&eqn6_eqn=&x_min=-10&x_max=10&y_min=-10&y_max=10&x_tick=1&y_tick=1&x_label_freq=5&y_label_freq=5&do_grid=0&do_grid=1&bold_labeled_lines=0&bold_labeled_lines=1&line_width=4&image_w=850&image_h=525

The intersection happens at (1,2).