document.write( "Question 524087: Can you help solve these functions with 3 variables?\r
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document.write( "4a + 2b - c = 5
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document.write( "2a+ b - 5c = -11
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document.write( "a - 2b + 3c = 6 \n" );
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Algebra.Com's Answer #347561 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 4a+-2b- c = 5 -------------- 1 \n" ); document.write( "2a+5b- c = -11 -------------- 2 \n" ); document.write( "a-2b+3c =6 -------------- 3 \n" ); document.write( " \n" ); document.write( "consider equation 1 &2 Eliminate b \n" ); document.write( "Multiply 1 by 5 \n" ); document.write( "Multiply 2 by 2 \n" ); document.write( "we get \n" ); document.write( "20a -10 b + -5 c = 25 \n" ); document.write( "4a+ 10 b + -2 c = -22 \n" ); document.write( "Add the two \n" ); document.write( "24 a + 0 b + -7 c = 3 ------------- 4 \n" ); document.write( "consider equation 2 & 3 Eliminate b \n" ); document.write( "Multiply 2 by 2 \n" ); document.write( "Multiply 3 by 5 \n" ); document.write( "we get \n" ); document.write( "4 a + 10 b + -2 c = -22 \n" ); document.write( "5 a + -10 b + 15 c = 0 \n" ); document.write( "Add the two \n" ); document.write( "9a +0b+13 c = -22 -------------5 5 \n" ); document.write( "Consider (4) & (5) Eliminate a \n" ); document.write( "Multiply 4 by 9 \n" ); document.write( "Multiply (5) by -24 \n" ); document.write( "we get 2 \n" ); document.write( "216 a + -63 c = 27 \n" ); document.write( "-216 a + -312 c = 528 \n" ); document.write( "Add the two \n" ); document.write( "0 a + -375 c = 555 \n" ); document.write( "/ -375 \n" ); document.write( "c = -1.48 => -37/25 \r \n" ); document.write( "\n" ); document.write( "Plug the value of c in (5) \n" ); document.write( "9 a + -19.24 = -22 \n" ); document.write( "9 a = -2.76 \n" ); document.write( "a = -0.31 OR - 23/75 \n" ); document.write( "plug value of x & z in 1 \n" ); document.write( "-1.23 + -2 b + 1.48 = 5 \n" ); document.write( "-2 b = 1.23 + -1.48 + 5 \n" ); document.write( "b = -2.37 OR -19/8 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |