document.write( "Question 54137: Solve each equation by the addition method. Determine whether the equation are independent, dependant, or inconsistent.\r
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document.write( "28. -3x + 2y = 8
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document.write( " 3x + 2y = 8
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Algebra.Com's Answer #36434 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! Add the two equations together and eliminate the x's. \n" ); document.write( "-3x+2y=8 \n" ); document.write( "+3x+2y=8 \n" ); document.write( "________ \n" ); document.write( "0+4y=16 \n" ); document.write( "4y=16 \n" ); document.write( "4y/4=16/4 \n" ); document.write( "y=4 \n" ); document.write( "Substitue y=4 into one of the equations and solve for x. \n" ); document.write( "3x+2(4)=8 \n" ); document.write( "3x+8=8 \n" ); document.write( "3x+8-8=8-8 \n" ); document.write( "3x=0 \n" ); document.write( "3x/3=0/3 \n" ); document.write( "x=0 \n" ); document.write( "The solution appears to be (x,y)=(0,4) \n" ); document.write( "----------------------------------- \n" ); document.write( "Check by substitution into both equations: \n" ); document.write( "-3(0)+2(4)=8 \n" ); document.write( "0+8=8 \n" ); document.write( "8=8 The first equation checks. \n" ); document.write( "3(0)+2(4)=8 \n" ); document.write( "0+8=8 \n" ); document.write( "8=8 The second equation also checked, so we can say with confidence from a mountaintop that the solution is: \n" ); document.write( "(x,y)=(0,4) \n" ); document.write( "Happy Calcualting!!! \n" ); document.write( " \n" ); document.write( " |