How many solutions does the equation 5x + 10 = 5x − 8 have?
Zero
One
Two
Infinitely many
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OpenStudy (anonymous):
What do you think it is?
OpenStudy (anonymous):
Alright, it's infinitely many. I just learned this a couple days ago :)
OpenStudy (anonymous):
@isabellewaab is incorrect
OpenStudy (anonymous):
Well sorry :/ whoops my bad
OpenStudy (anonymous):
When you have the x values with the same value but the integers are different \[\large \sf \color{red}{5x}\color{blue}{+10}=\color{red}{5x} \color{blue}{-8}\] that means that the two lines produced will be parallel
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OpenStudy (anonymous):
so two?
OpenStudy (anonymous):
You know that parallel lines never meet right?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
Well the number of solutions is determined by the amount of times the two lines meet each other. So if they never meet, how many solutions will there be?
OpenStudy (anonymous):
um zero
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