document.write( "Question 972433: Please help me solve this equation by substitution.\r
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document.write( " -5x + 3y = -5, -7x - 5y = -7\r
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document.write( "I keep getting a crazy fractional answer, and I don't think it's correct! Thank you! \n" );
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Algebra.Com's Answer #594747 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "-5x+3y=-5 Add 5x to each side.(Equation 1) \n" ); document.write( "3y=5x-5 Divide each side by 3. \n" ); document.write( "y=(5x-5)/3 Use this to substitute for y in Equation 2 \n" ); document.write( ". \n" ); document.write( "-7x-5y=-7 Substitute for y (Equation 2) \n" ); document.write( "-7x-5((5x-5)/3)=-7 \n" ); document.write( "-7x+(-25x+25)/3=-7 Multiply each side by 3. \n" ); document.write( "-21x-25x+25=-21 Subtract 25 from each side. \n" ); document.write( "-46x=-46 Divide each side by -46. \n" ); document.write( "x=1 \n" ); document.write( ". \n" ); document.write( "-5x+3y=-5 Put in value for x. \n" ); document.write( "-5(1)+3y=-5 \n" ); document.write( "-5+3y=-5 Add 5 to each side. \n" ); document.write( "3y=0 Divide each side by 3 \n" ); document.write( "y=0 \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "-7x-5y=-7 Put in values. \n" ); document.write( "-7(1)-5(0)=-7 \n" ); document.write( "-7-0=-7 \n" ); document.write( "-7=-7 \n" ); document.write( " \n" ); document.write( " |