document.write( "Question 22349: My son needs your help in solving this problem.\r
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document.write( "Find the solution set for the system of equations
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document.write( "3X + 2Y = 3
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document.write( "-5X + Y = 8\r
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document.write( "Thanks
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Algebra.Com's Answer #10835 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Solve the system of equations: \n" ); document.write( "1) 3x + 2y = 3 \n" ); document.write( "2) -5x + y = 8 Multiply equation 2) by 2 then subtract equation 1) from the result and solve for x.\r \n" ); document.write( "\n" ); document.write( "2) -10y + 2y = 16 \n" ); document.write( "1) -(3x + 2y = 3) \n" ); document.write( "----------------- \n" ); document.write( "3) -13x = 13 Divide both sides by -13 \n" ); document.write( "x = -1 Now substitute this into equation 1) and solve for y.\r \n" ); document.write( "\n" ); document.write( "1) 3(-1) + 2y = 3 \n" ); document.write( "-3 + 2y = 3 Add 3 to both sides. \n" ); document.write( "2y = 6 Divide both sides by 2. \n" ); document.write( "y = 3\r \n" ); document.write( "\n" ); document.write( "Solution: (-1, 3) \n" ); document.write( " |