document.write( "Question 839718: solve each linear system using elimintion\r
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document.write( "a) 4x+5y =14
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document.write( " 2x-3y= -2\r
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document.write( "solve using substitution
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document.write( "a) 3a+b-4=0
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document.write( " 2a-10=3b\r
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document.write( "b) 3p-6q =0
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document.write( " 4p+q=3 i keep trying and when i check its always wrong :(
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Algebra.Com's Answer #505820 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! a) 4x+5y =14 \n" ); document.write( " 2x-3y= -2 \n" ); document.write( "multiply the top equation by 3 and the bottom by 5 \n" ); document.write( "12x+15y=42 \n" ); document.write( "10x-15y=-10 \n" ); document.write( "add them together \n" ); document.write( "22x = 32 \n" ); document.write( "x = 32/22 \n" ); document.write( "x = 16/11 \n" ); document.write( "substitute 16/11 in 2x-3y=-2 \n" ); document.write( "2(16/11) -3y = -2 \n" ); document.write( "32/11 -3y = -2 \n" ); document.write( "add -32/11 to each side \n" ); document.write( "-3y = -2 -32/11 \n" ); document.write( "-3y = -22/11 -32/11 \n" ); document.write( "-3y = -54/11 \n" ); document.write( "y = 18/11 \n" ); document.write( "check http://www.wolframalpha.com/input/?i=4x%2B5y+%3D14+%2C+2x-3y%3D+-2 \n" ); document.write( "---------------- \n" ); document.write( "3a+b-4=0 \n" ); document.write( "2a-10=3b \n" ); document.write( "Let's use the first equation to solve for b \n" ); document.write( "3a+b-4= 0 \n" ); document.write( "add -3a+4 to each side \n" ); document.write( "b = -3a+4 \n" ); document.write( "substitute -3a+4 for b in 2a-10=3b \n" ); document.write( "2a-10=3(-3a+4) \n" ); document.write( "2a-10=-9a+12 \n" ); document.write( "add 9a to each side \n" ); document.write( "11a -10=12 \n" ); document.write( "add 10 to each side \n" ); document.write( "11a = 22 \n" ); document.write( "a = 2 \n" ); document.write( "substitute 2 for a in b = -3a+4 \n" ); document.write( "b=-3(2)+4 \n" ); document.write( "b=-6+4 \n" ); document.write( "b=-2 \n" ); document.write( "---------------------- \n" ); document.write( "3p-6q =0 \n" ); document.write( "4p+q=3 \n" ); document.write( "Using the second equation solve for q \n" ); document.write( "add -4p to each side \n" ); document.write( "q = 3 -4p \n" ); document.write( "substitute 3-4p for q in 3p-6q =0 \n" ); document.write( "3p-6(3-4p) =0 \n" ); document.write( "3p-18+24p = 0 \n" ); document.write( "27p -18 = 0 \n" ); document.write( "add 18 to each side \n" ); document.write( "27p = 18 \n" ); document.write( "divide by 27 \n" ); document.write( "p = 18/27 \n" ); document.write( "p = 2/3 \n" ); document.write( "substitute 2/3 for p in q = 3 -4p \n" ); document.write( "q = 3 -4(2/3) \n" ); document.write( "q = 3 -8/3 \n" ); document.write( "q = 9/3 -8/3 \n" ); document.write( "q = 1/3 \n" ); document.write( "These are pretty difficult for this type of problem. \n" ); document.write( "Check out www.wolframalpha.com \n" ); document.write( "Put a comma between equations. \n" ); document.write( " |