document.write( "Question 314880: I need help on solving by linear equation.
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document.write( "4x-5y=20 and 5x+5y=70 I need to show work. \n" );
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Algebra.Com's Answer #225227 by CharlesG2(834)![]() ![]() ![]() You can put this solution on YOUR website! I need help on solving by linear equation. \n" ); document.write( "4x-5y=20 and 5x+5y=70 I need to show work.\r \n" ); document.write( "\n" ); document.write( "there are a few ways you can do this, solving for y on both and then setting equations equal is one, matrixes is another, elimination and substitution is yet another\r \n" ); document.write( "\n" ); document.write( "4x -5y = 20 \n" ); document.write( "5x +5y = 70 (notice the coefficients on the y's, they are opposites, add the 2 equations together) \n" ); document.write( "9x = 90 \n" ); document.write( " x = 10, we now know x \n" ); document.write( "subsitute x into one of the equations and solve for y \n" ); document.write( "4(10) - 5y = 20 \n" ); document.write( "40 - 5y = 20 \n" ); document.write( "-5y = -20 \n" ); document.write( "y = 4 \n" ); document.write( "we could have used the other equation as well \n" ); document.write( "5(10) + 5y = 70 \n" ); document.write( "50 + 5y = 70 \n" ); document.write( "5y = 20 \n" ); document.write( "y = 4 \n" ); document.write( " \n" ); document.write( " |