document.write( "Question 491238: I dont understand the process,
\n" ); document.write( "2x-y=32
\n" ); document.write( "y-5x=13
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Algebra.Com's Answer #334546 by S_Marshall(1)\"\" \"About 
You can put this solution on YOUR website!
There are many ways to sole this problem, but I will turn these two equations into one:\r
\n" ); document.write( "\n" ); document.write( "2x-y=32
\n" ); document.write( "-y=-2x+32 -------make the equality equal y by subtracting 2x from both sides
\n" ); document.write( "y = 2x - 32---------------y can not be negative so multiply the whole side by -1\r
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\n" ); document.write( "\n" ); document.write( "y-5x = 13-----------add 5x to make the eguality be in terms of y
\n" ); document.write( "y= 5x+13\r
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\n" ); document.write( "\n" ); document.write( "Now both equalities equal y. Then you can equal it to each other. Its kinda like if a=b and a= c, then b=c.\r
\n" ); document.write( "\n" ); document.write( "5x + 13 = 2x - 32
\n" ); document.write( "3x + 13 = -32
\n" ); document.write( "3x = -45
\n" ); document.write( "x = -15\r
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\n" ); document.write( "\n" ); document.write( "Then plug in x into anyone of the ORIGINAL equations. It doesn't matter which one because both will give you the same answer:\r
\n" ); document.write( "\n" ); document.write( "y-5x=13
\n" ); document.write( "y-5(-15)=13-------------two negatives make a positive
\n" ); document.write( "y + 75 = 13--------------subtract 75 from each side
\n" ); document.write( "y= -62\r
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\n" ); document.write( "\n" ); document.write( "ans = (-15, -62)\r
\n" ); document.write( "\n" ); document.write( "The answer is written as coordinates because the two equations are lines and this is the point where they connect. To get a better visual, you can graph the two lines and see at which point they intersect which should be the answer above.\r
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