document.write( "Question 102155: Hi, Can you please help with this equation? I have a test first thing tomorrow morning and I am very stuck. I know what the answers should be, (x=1.5 and y=-0.8) but and having trouble getting there.\r
\n" );
document.write( "\n" );
document.write( "The equation is as follows:\r
\n" );
document.write( "\n" );
document.write( "1.2(x+4)-2.5(3y-2) = 2
\n" );
document.write( "4/5(3x-5)+ 3/2(3y-4) = -10\r
\n" );
document.write( "\n" );
document.write( "This is what I've got so far:\r
\n" );
document.write( "\n" );
document.write( "1.2(x+4)-2.5(3y-2) = 2
\n" );
document.write( ".08(3x-5)+1.5(3y-4) = -10\r
\n" );
document.write( "\n" );
document.write( "1.2x + 4.8 -7.5y+5 = 2
\n" );
document.write( "2.4x-4 + 4.5y-6 = -10\r
\n" );
document.write( "\n" );
document.write( "1.2x + 9.8 -7.5y = 2
\n" );
document.write( "2.4x -10 + 4.5y = -10\r
\n" );
document.write( "\n" );
document.write( "2.4x x -7.5 -10x-7.5 +4.5y-7.5 = 10x-7.5
\n" );
document.write( "-18x +75 -33.75y = -75\r
\n" );
document.write( "\n" );
document.write( "1.2x-18x +9.8+75 - 7.5y-33.75y = -75+2
\n" );
document.write( "16.8x + 84.8 - 41.25y = 77\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #74239 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1.2(x+4)-2.5(3y-2) = 2 \n" ); document.write( "Multiply thru by 10 to get rid of the decimals: \n" ); document.write( "12(x+4) - 25(3y-2) = 20 \n" ); document.write( "12x+48-75y+50 = 20 \n" ); document.write( "12x-75y= -78 \n" ); document.write( "Divide thru by 3 to get: \n" ); document.write( "4x - 25y = -26 \n" ); document.write( "---------------------\r \n" ); document.write( "\n" ); document.write( "(4/5)(3x-5)+ (3/2)(3y-4) = -10 \n" ); document.write( "Multiply thru by 10 to get rid of the denominators: \n" ); document.write( "8(3x-5) + 15(3y-4) = -100 \n" ); document.write( "24x-40+45y-60 = -100 \n" ); document.write( "24x+45y = 0 \n" ); document.write( "8x+15y = 0 \n" ); document.write( "----------------------- \n" ); document.write( "Solve this system of equations: \n" ); document.write( "1st: 4x - 25y = -26 \n" ); document.write( "2nd: 8x + 15y = 0 \n" ); document.write( "---------------- \n" ); document.write( "Multiply 1st by \"2\" to get: \n" ); document.write( "3rd: 8x - 50y = -52 \n" ); document.write( "------------------ \n" ); document.write( "Subtract 2nd from 3rd to get: \n" ); document.write( "-65y = -52 \n" ); document.write( "y = (4/5) or 0.8 \n" ); document.write( "---------------- \n" ); document.write( "Substitute into 2nd to solve for \"x\" \n" ); document.write( "8x + 15(4/5) =0 \n" ); document.write( "8x + 12 = 0 \n" ); document.write( "x = -1.5 \n" ); document.write( "-------------- \n" ); document.write( "Final solution: \n" ); document.write( "x= -1.5 \n" ); document.write( "y= 0.8 \n" ); document.write( "========================= \n" ); document.write( "Check the answer in 1.2(x+4)-2.5(3y-2) = 2 \n" ); document.write( "1.2((-1.5)+4)-2.5(3*0.8-2) = 2 \n" ); document.write( "1.2(2.5) - 2.5(0.4) = 2 \n" ); document.write( "3 - 1 = 2 \n" ); document.write( "2 = 2 \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |