document.write( "Question 262867: x-7y=46
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document.write( "2x-7y=43 \n" );
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Algebra.Com's Answer #193647 by pinklipgloss2007(6)![]() ![]() You can put this solution on YOUR website! If you are looking for the values of x and y: \n" ); document.write( "We first solve one of the equations for either x or y and plug that value into the other equation in place of that value. \n" ); document.write( "x-7y=46 \n" ); document.write( "Add 7y to both sides. \n" ); document.write( "x=46+7y\r \n" ); document.write( "\n" ); document.write( "So now we take the 2nd equation and everywhere we see an 'x' we plug in 46+7y. \n" ); document.write( "2(46+7y)-7y=43 We distribute the 2. \n" ); document.write( "92+14y-7y=43 Add 14y and -7y. \n" ); document.write( "92+7y=43 Subtract 92 from both sides. \n" ); document.write( "7y=-49 Divide both sides by 7 to isolate the y. \n" ); document.write( "The 7's on the left side of the equal sign will cancel and you will be left with: \n" ); document.write( "y=-49/7 \n" ); document.write( "y=-7\r \n" ); document.write( "\n" ); document.write( "So now we know the exact value of y! \n" ); document.write( "We can now go back to the 1st equation and plug in -7 for y! \n" ); document.write( "x-7(-7)=46 Multiply 7 and -7 \n" ); document.write( "x+49=46 Subtract 49 from both sides of the equation. \n" ); document.write( "x=-3 \n" ); document.write( " |