SOLUTION: At what point does the line joining (5, 4) and the origin meet the line 2x + 2y − 7=0?

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Question 1144807: At what point does the line joining (5, 4) and the origin meet the line 2x + 2y − 7=0?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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line joining (5, 4) and the origin
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y=%284%2F5%29x




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meet the line 2x + 2y − 7=0
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5y=4x
4x-5y=0
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system%282x%2B2y-7=0%2C4x-5y=0%29

system%284x%2B4y-14=0%2C4x-5y=0%29

E1-E2:
9y-14=0
9y=14
y=14%2F9, y=1%265%2F9
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2x%2B2%2814%2F9%29=7substitution
2x=7-28%2F9
x=7%2F2-14%2F9
x=%2863-28%29%2F18
x=35%2F18=1%2617%2F18
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Intersection, ( 35/18, 14/9 )

graph%28400%2C400%2C-4%2C4%2C-4%2C4%2C4x%2F5%2C-x%2B7%2F2%29