document.write( "Question 15047: Hello
\n" ); document.write( "I am trying to go back to school I have never liked math. Now that I need to take a test to enter college I am confused I have the THEA guide book. But they really don't explain to well the problems. Anyways I am trying to figure this out 2x+3y=6 I need to graph but first I need to solve for x and then solve for Y. Please I hope you can help me!!!!
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Algebra.Com's Answer #7490 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
I'm not familiar with the THEA guide book, but when you are graphing an equation like 2x + 3y = 6, I can't imagine why you would want to solve for x. Solving for y is a nice idea, but I don't think that is the easiest way to graph this equation.\r
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\n" ); document.write( "\n" ); document.write( "Nevertheless, solve for y by adding -2x from both sides:
\n" ); document.write( "2x + 3y = 6
\n" ); document.write( "2x-2x + 3y = -2x + 6
\n" ); document.write( "3y = -2x + 6\r
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\n" ); document.write( "\n" ); document.write( "Next, divide both sides by 3 in order to solve for y.
\n" ); document.write( "3y= -2x + 6
\n" ); document.write( "\"%283y%29%2F3+=+%28-2x%29%2F3+%2B+6%2F3\"
\n" ); document.write( "\"y+=+-2x%2F3+%2B+2\"\r
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\n" ); document.write( "\n" ); document.write( "What this means is the the y intercept is 2, and the slope (steepness!) of the line is -2/3.\r
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\n" ); document.write( "\n" ); document.write( "Start with an xy graph, and go up two units on the y-axis and put a point. Next, with your pencil on this point on the y axis, measure off the slope which is a rise of -2 followed by a run of 3. This means from the point you made at y=2 on the y-axis, count DOWN 2 units, and go RIGHT 3 units, and put another point. Then connect the points with a line, and extend the line in both directions. The result should look like this:\r
\n" ); document.write( "\n" ); document.write( "\"graph+%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28-2%2F3%29%2Ax+%2B+2%29++\"\r
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\n" ); document.write( "\n" ); document.write( "R^2 at SCC
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