document.write( "Question 6087: This question is on the Addition Method rather than the Substitution Method. When using the Addition Method won't you only solve for 1 variable? Here is the problem below:
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document.write( "Problem:
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document.write( "(Eq.1) 3a + 2b = 8
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document.write( "(Eq.2) 5a + 2b =2\r
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document.write( "-1(3a) + -1(2b) = -1(8)\r
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document.write( " -3a + -2b = -8
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document.write( " 5a + 2b = 2
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document.write( " _______________
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document.write( " 2a = -6
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document.write( " 2a/2 = -6/2
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document.write( " a = -3
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document.write( "If I canceled out \"b\" how do I solve for \"b\". \r
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document.write( "My instructor wrote this on my test:\r
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document.write( "b=?\r
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document.write( "Thanks,
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document.write( "TSJ
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Algebra.Com's Answer #3249 by Abbey(339)![]() ![]() ![]() You can put this solution on YOUR website! once you found a, you put it back into the equation to find b:\r \n" ); document.write( "\n" ); document.write( "3(-3)+2b=8 \n" ); document.write( "-9+2b=8 \n" ); document.write( "2b=17 \n" ); document.write( "b=17/2\r \n" ); document.write( "\n" ); document.write( "then verify with both numbers in the other equation: \n" ); document.write( "5(-3)+2(17/2)=2 \n" ); document.write( "-15+17=2 - this is a true statement, so the solution is = (-3,17/2) - this is written in parentheses because the solution is actually where these two lines intersect on a graph - a single point. \n" ); document.write( " |