SOLUTION: solve the system of equation by graphing x-2y=0 x+2y=8

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Question 583426: solve the system of equation by graphing
x-2y=0
x+2y=8
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +x-2y=0+
(2) +x%2B2y=8+
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Add 2y to both sides of (1)
(1) +2y+=+x+
Divide both sides by 2
(1) +y+=+%281%2F2%29%2Ax+
This line passes through the origin,
because when +x+=+0+, +y+=+0+
The slope is positive and equals +1%2F2+
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Subtract +x+ from both sides
(2) +2y+=+-x+%2B+8+
Divide both sides by +2+
(2) +y+=+-%281%2F2%29%2Ax+%2B+4+
The y-intercept is (0,4)
The slope is +-%281%2F2%29+
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Here's the plot: