How do you solve the system of equations #y=3x-7# and #y=-x+1# by graphing?

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Answer 1 · 2018-02-07T04:37:53

(2,-1)

graph both equations on the same graph.

red graph is #y=3x-7#
blue graph is #y=-x+1#

enter image source here

the point of intersect is (2, -1)

to check the solution:

substitute 2 for x in both equations

#y=3(2)-7#
#y= -1#

#y=-(2)+1#
#y= -1#

(2,-1) is the solution for system #y=3x-7# and #y=-x+1#