document.write( "Question 76271: Hi everyone again, I know I already asked something similar to this already but something's not working out for me.
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document.write( "Four times the larger of 2 numbers decreased by 3 times the smaller is 152. Three times the larger increased by 5 times the smaller is 288. Find the numbers.
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document.write( "I started with x=larger number and y=smaller number
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document.write( "4x-3y=152 (1)
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document.write( "3x+5y=288 (2)
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document.write( "Now I'm stuck. \n" );
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Algebra.Com's Answer #54749 by checkley75(3666) ![]() You can put this solution on YOUR website! THERE ARE MANY WAYS TO SOLVE THESE 2 EQUATIONS- ADD, SUBTRACT, ELIMINATION OR SUBSTITUTON. \n" ); document.write( "HERE WE USE THE ELIMINATION MATHOD: \n" ); document.write( "MULTIPLY THE FIRST EQUATION BY 5 & THE SECOND ONE BY 3 AND THEN ADD \n" ); document.write( "20X-15Y=760 \n" ); document.write( "9X+15Y=864 \n" ); document.write( "--------------------------------- \n" ); document.write( "29X=1624 \n" ); document.write( "X=1624/29 \n" ); document.write( "X=56 ANSWER. NOW SUBSTITUTE 56 FOR X & SOLVE FOR Y \n" ); document.write( "4*56-3Y=152 \n" ); document.write( "224-3Y=152 \n" ); document.write( "-3Y=152-224 \n" ); document.write( "-3Y=-72 \n" ); document.write( "Y=-72/-3 \n" ); document.write( "Y=24 ANSWER.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |