document.write( "Question 1191478: {𝑥−2𝑦+3𝑧=9−𝑥+3𝑦−𝑧=−62𝑥−5𝑦+5𝑧=1 elimination \n" ); document.write( "
Algebra.Com's Answer #823311 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Ambiguous is right, use commas, brackets, or at least separate the equations:
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\n" ); document.write( "Assume you mean
\n" ); document.write( "𝑥 − 2𝑦 + 3𝑧 = 9
\n" ); document.write( "−𝑥 +3𝑦 − 𝑧 =−6
\n" ); document.write( "2𝑥 −5𝑦 + 5𝑧 = 1
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\n" ); document.write( "Often with these problems their is one operation that greatly simplifies this
\n" ); document.write( "You can see this by multiplying the 1st equation by -1
\n" ); document.write( "-𝑥 + 2𝑦 - 3𝑧 =-9
\n" ); document.write( "−𝑥 +3𝑦 − 𝑧 =−6
\n" ); document.write( "2𝑥 −5𝑦 + 5𝑧 = 1
\n" ); document.write( "-----------------------adding eliminates x and y
\n" ); document.write( "0x + 0y + z = -14
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\n" ); document.write( "Replace z with -14 in the first two equations and add eliminating x,
\n" ); document.write( "x - 2y + 3(-14) = 9
\n" ); document.write( "-x +3y - (-14) = -6
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\n" ); document.write( "x - 2y = 9 + 42
\n" ); document.write( "-x +3y = -6 -14
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\n" ); document.write( "x - 2y = 51
\n" ); document.write( "-x +3y = -20
\n" ); document.write( "------------------adding eliminates x, find y
\n" ); document.write( "0 + y = 31
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\n" ); document.write( "find x using the first equation
\n" ); document.write( "x - 2(31) + 3(-14) = 9
\n" ); document.write( "x - 62 - 42 = 9
\n" ); document.write( "x = 104 + 9
\n" ); document.write( "x = 113
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\n" ); document.write( "The solution: x=113, y=31, z=-14
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\n" ); document.write( "You should confirm this in the 2nd and 3rd original equations\r
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