SAT MATH Heart of Algebra System of Equations No Solution Hack

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A question that showed up on a no calculator portion. You can do this question in 10 seconds if you remember this strategy.
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I would have doubled the top equation so that we would have equal Y coefficients on both equations. Given that they both equal something different all we have to do is now giving them matching X values, which would be -3 . This is built upon the fact that the system of equations cannot both equal itself and a different number

Nothingtrtrrt
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-6, because if you divided the equation on the bottom by -2 after substituting “a”, y and. -y will eliminate and 6/-2=-3 and -3x + 3x =0, therefore so solutions.

rayes
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a1/a2 = b1/b2 ≠ c1/c2
for no solution

not c1≠c2

consider

x+2y = 3
10x+20y = 30

this system has infinitely many solutions instead of no solutions.

mryip
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Thankyou sir im learning alot how to fck this kind of question literally not exceeding 15 sec. Thankyou so much

jackionendino
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It is soooo easy this way. Was stressing myself out 😭😭😭

meikoluvv
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They are two straight lines, if the system has no solution then the lines dont cross, so x has the same coefficent

carnotaurussastrei
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Or you can make it so that the determinant of the matrix containing the coeffisients is equal to 0

mathiasfjsne
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After watching several of these, I now fully understand why Math baffled me in school. It's evil magic.

mikeellery
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Wait Isn't that actually the way how it's done?? In India we solve like that only ☠️

pahadipilla
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Yeah obviously they will be coincident lines

mohammadirfan
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Dono what the hell you're talking about. Why don't you break it down like you're talking to people who's never heard about co efiicients

bojaiden