How do you solve #x+8=2-5x# graphically and symbolically?

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Answer 1 · 2017-05-24T12:58:25

#x=-1#

Symbolically
Step 1. Add #5x# to both sides.

#6x+8=2#

Step 2. Subtract #8# from both sides

#6x=-6#

Step 3. Divide both sides by #6#

#x=-1#

Graphically
Step 1. Separate the equation into two linear equations

#y_1=x+8#
#y_2=2-5x#

Step 2. Graph these two lines on a single graph and identify the #x#-value where they intersect.

graph{(y-x-8)(y-2+5x)=0[-5,5,-10,15]}

The two graphs intersect at #x=-1#