document.write( "Question 156745: 2x-2y=15
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document.write( "4x+4y=10\r
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document.write( "Help, I need to solve for x and y \n" );
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Algebra.Com's Answer #115581 by Electrified_Levi(103)![]() ![]() ![]() You can put this solution on YOUR website! Hi, Hope I can help, \n" ); document.write( ". \n" ); document.write( "2x-2y=15 \n" ); document.write( "4x+4y=10 \n" ); document.write( "Help, I need to solve for x and y \n" ); document.write( ". \n" ); document.write( "First, you can reduce the second equation, by multiplying each side by \"2\" \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "The second equation \n" ); document.write( ". \n" ); document.write( "The Two equations are \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "This is the way I usually solve these equations, First, solve for a letter(usually the easiest letter), we will solve for \"x\" in both equations \n" ); document.write( ". \n" ); document.write( "Equation 1 = \n" ); document.write( ". \n" ); document.write( "Now we will move (-2y) to the right side \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We will rearrange the numbers \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We will divide each side by \"2\" to get \"x\" \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Our first \"x\" = \n" ); document.write( ". \n" ); document.write( "Now let's solve \"x\" in our second equation, \n" ); document.write( ". \n" ); document.write( "We will move (2y) to the right side \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We will rearrange the numbers \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We will divide each side by \"2\" to get \"x\" \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Our second \"x\" = \n" ); document.write( ". \n" ); document.write( "Since \"x\" is one number, and \"x\" equals our two answers, our answers equal each other, we can put our two answers in an equation \n" ); document.write( ". \n" ); document.write( "Answer 1 = \n" ); document.write( ". \n" ); document.write( "Answer 2 = \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We will now solve for \"y\" \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We will use cross multiplication \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "It will become \n" ); document.write( ". \n" ); document.write( "We will rearrange numbers \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We will use the distribution method \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Now we will solve for \"y\", we will move (-4y) to the left \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Now we will move (30) to the right side \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Now to find \"y\" we will divide each side by \"8\" \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "y = \n" ); document.write( ". \n" ); document.write( "To find \"x\" all you do is substitute \"y\" with \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Let's use the second equation(replace \"y\" with \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We will move (-5) over to the right side \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Now we will divide each side by \"2\" to get \"x\" \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "x = \n" ); document.write( ". \n" ); document.write( "We can check our answers by replacing \"x\" and \"y\" with our answers we got, in our very first equations \n" ); document.write( ". \n" ); document.write( "x = \n" ); document.write( ". \n" ); document.write( "y = \n" ); document.write( ". \n" ); document.write( "Let's replace \"x\" and \"y\" with the numbers above \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "This method will work for all problems like this \n" ); document.write( ". \n" ); document.write( "x = \n" ); document.write( ". \n" ); document.write( "y = \n" ); document.write( ". \n" ); document.write( "The ordered pair is (x,y), our ordered pair is (5, \n" ); document.write( ". \n" ); document.write( "Hope I helped, Levi \n" ); document.write( " |