document.write( "Question 452224: 3x+9y=21
\n" );
document.write( "-8x=y=19
\n" );
document.write( "I am hoping to get some help with this, I am trying to solve by the substitution method, I am being told to solve the second equation first, but i do not understand why. Thank you so much for any help that you can give \n" );
document.write( "
Algebra.Com's Answer #310851 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 3x+9y=21 \n" ); document.write( "-8x+y=19 \n" ); document.write( "-------- \n" ); document.write( "You assume the x's mean the same in both \n" ); document.write( "equations and the y's mean the same in \n" ); document.write( "both equations. \n" ); document.write( "----- \n" ); document.write( "So you solve one of the equations for one of \n" ); document.write( "the variables: \n" ); document.write( "For example: y = 8x+19 \n" ); document.write( "----- \n" ); document.write( "You substitute that expression into the other \n" ); document.write( "equation in place of \"y\" to get an equation \n" ); document.write( "with only the variable \"x\". \n" ); document.write( "--- \n" ); document.write( "3x + 9*(8x+19) = 21 \n" ); document.write( "--- \n" ); document.write( "Divide thru by 3 to get: \n" ); document.write( "x + 3(8x+19) = 7 \n" ); document.write( "x + 24x + 57 = 7 \n" ); document.write( "25x = -50 \n" ); document.write( "x = -2 \n" ); document.write( "----- \n" ); document.write( "Now you can solve for \"y\": \n" ); document.write( "y = 8x+19 \n" ); document.write( "y = 8*(-2)+19 \n" ); document.write( "y = -16+19 \n" ); document.write( "y = 3 \n" ); document.write( "-------- \n" ); document.write( "Solution for the system of two equations: (-2,3) \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " |