document.write( "Question 71443: 4x + y = 16, 2x + 3y = 24
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document.write( "I have tried mul. the 1st equation by -3. Then adding the 2 together. I have tried mul. 2nd equation by -2, then adding the 2 together. I have tried y = 16 - 4x, then tried to substitute y into the 2nd equation. I can't seem to figure it out. \n" );
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Algebra.Com's Answer #51101 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Solve the system of of equations: \n" ); document.write( "1) 4x+y = 16 \n" ); document.write( "2) 2x+3y = 24 \n" ); document.write( "Your first step was one in the right direction. Multiply equation 1) by -3 then add the resulting equation to equation 2). \n" ); document.write( "1a) -12x-3y = -48 \n" ); document.write( "2)....2x+3y = 24 \n" ); document.write( "------------------ \n" ); document.write( "-10x = -24 Divide both sides by -10. \n" ); document.write( "x = 2.4 Now substitute this value of x into either one of the two original equations and solve for y. \n" ); document.write( "4x+y = 16 Substitute x = 2.4 \n" ); document.write( "4(2.4) + y = 16 \n" ); document.write( "9.6 + y = 16 Subtract 9.6 from both sides. \n" ); document.write( "y = 6.4 \n" ); document.write( "The solution is (2.4, 6.4) \n" ); document.write( " |