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Which graph represents this system? y=1/2x + 3 y=3/2x-1 plz help

Which graph represents this system? y=1/2x + 3 y=3/2x-1 plz help-example-1
Which graph represents this system? y=1/2x + 3 y=3/2x-1 plz help-example-1
Which graph represents this system? y=1/2x + 3 y=3/2x-1 plz help-example-2
Which graph represents this system? y=1/2x + 3 y=3/2x-1 plz help-example-3
Which graph represents this system? y=1/2x + 3 y=3/2x-1 plz help-example-4
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User DarkMath
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1 Answer

7 votes

Please rewrite this system as



y=(1/2)x + 3


y=(3/2)x - 1



Let y = y. Then (1/2)x + 3 = (3/2)x - 1, or 4=x



Subbing 4 for x in the first equation, we get y = (1/2)(4)+3 = 2+3=5



and so the solution is (4,5)



Now go look at the graphs again. Which graph shows 2 lines intersecting at (4,5)?

It's the first set of graphs.


answered
User GJ Nilsen
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8.6k points

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