document.write( "Question 421503: solve by the substitution method.\r
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document.write( "3x+8y=-5
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document.write( "x=3-5y\r
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document.write( "the solution is?
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document.write( "or there is no solution? \n" );
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Algebra.Com's Answer #294464 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! solve by the substitution method. \n" ); document.write( "3x + 8y = -5 \n" ); document.write( "x = (3-5y); use this for substitution in the 1st equation \n" ); document.write( ": \n" ); document.write( "Replace x with (3-5y) \n" ); document.write( "3(3-5y) + 8y = -5 \n" ); document.write( "; \n" ); document.write( "Multiply what's inside the brackets by 3, \n" ); document.write( "9 - 15y + 8y = -5 \n" ); document.write( "; \n" ); document.write( "Subtract 9 from both sides \n" ); document.write( "-15y + 8y = -5 - 9 \n" ); document.write( "-7y = -14 \n" ); document.write( ": \n" ); document.write( "divide both sides by -7 \n" ); document.write( "y = \n" ); document.write( "y = +2 \n" ); document.write( "; \n" ); document.write( "Find x using the 2nd equation, replace y with 2 \n" ); document.write( "x = 3 - 5(2) \n" ); document.write( "x = 3 - 10 \n" ); document.write( "x = -7 \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution using the 1st equation \n" ); document.write( "3x + 8y = -5 \n" ); document.write( "replace x with -7, y with 2 \n" ); document.write( "3(-7) + 8(2) = \n" ); document.write( "-21 + 16 = -5; confirms our solutions of x=-7, y=2 \n" ); document.write( " \n" ); document.write( " |