is this system of equations solvable | Mathematics | Page 1

burnt bough Jan 29, 2023, 4:35 AM

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$a+b=135\c+d=135\x+y=135\a+y=45\d+x=180\b+c=180$

steep yokeBOT Jan 29, 2023, 4:36 AM

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Daniel_The_Maniel

placid field Jan 29, 2023, 5:09 AM

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burnt bough $a+b=135\\c+d=135\\x+y=135\\a+y=45\\d+x=180\\b+c=180$

there are 6 variables and 6 equations, so yes

sleek siren Jan 29, 2023, 7:06 AM

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You have to substitute b = 180 - c in the first equation and then c = 135 - d in that equation and then 180 - x in that equation, etc.

dire geyser Jan 29, 2023, 7:29 AM

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Or just use Gauss.

burnt bough Jan 29, 2023, 9:35 AM

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What’s that

dire geyser Jan 29, 2023, 10:52 AM

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burnt bough What’s that

One of the most common methods of solving systems of linear equations. It involves writing the system as a matrix and performing row operations to bring it to the reduced row echelon form.

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I can show how it would work here if you want.

burnt bough Jan 29, 2023, 10:53 AM

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Sure

dire geyser Jan 29, 2023, 10:58 AM

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Alright, give me some time.

#is this system of equations solvable