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show that there are no solutions to the following: y=3x+4 y=3x-4
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put y from first equation in the second
...or subtract the second equation from the first
it should look like 3x+4=3x-4 right?
yes
what is result?
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than you should get 4=-4 right?
yes
and thats why there are no solutions?
yes
it means there are no solution because it is a statement that is never true
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\[4\neq-4\]whenever you get a contradiction in solving a system, that means no solutions exist
thank you!
yw
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