How do you solve the system #x + y = 4# and #y = -x + 1# by graphing?

1 Answer
May 14, 2018

Answer:

The two equations have the same slope, #m=-1#, therefore they are perpendicular and there is no solution to this linear system. The two lines have no points in common.

Explanation:

Solve system of linear equations by graphing.

#"Equation 1":# #x+y=4# #larr# standard form

#"Equation 2":# #y=-x+1# #larr# slope-intercept form

Convert Equation 1 to slope-intercept form.

#y=-x+4#

The two equations have the same slope, #m=-1#, therefore they are perpendicular and there is no solution to this linear system. The two lines have no points in common.

graph{(x+y-1)(x+y-4)=0 [-10, 10, -5, 5]}