document.write( "Question 217891: The problem is:
\n" ); document.write( "3x+2y=4
\n" ); document.write( "2x-3y=6\r
\n" ); document.write( "\n" ); document.write( "I can only get so far in this problem and then I'm stuck. Here's how far I can get:\r
\n" ); document.write( "\n" ); document.write( "3x=-2y+4 \r
\n" ); document.write( "\n" ); document.write( "3x/3=-2/3y+4/3\r
\n" ); document.write( "\n" ); document.write( "x=-2/3y+4/3
\n" ); document.write( "Now if I substitute this into the 2nd equation, I have:
\n" ); document.write( "2(-2/3y+4/3)-3y=6\r
\n" ); document.write( "\n" ); document.write( "This is where I get stuck, it doesn't make any sense. I have looked in the back of the student manual that works with my textbook ( Miller//O'Neil//Hyde: Beginning & Intermediate Algebra, 2nd edition) and it just doesn't click. Any help would be greatly appreciated!\r
\n" ); document.write( "\n" ); document.write( "Lisa\r
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Algebra.Com's Answer #164232 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
3x=-2y+4
\n" ); document.write( "3x/3=-2y/3+4/3
\n" ); document.write( "x=-2y/3+4/3
\n" ); document.write( "Now if I substitute this into the 2nd equation 2x-3y=6, I have:
\n" ); document.write( "2(-2y/3+4/3)-3y=6
\n" ); document.write( "-4y/3+8/3-3Y=6
\n" ); document.write( "-4Y/3-3Y=6-8/3 combine the y terms by finding a common denominator (3).
\n" ); document.write( "(-4Y-3Y*3)/3=(6*3-8)/3
\n" ); document.write( "(-4Y-9Y)/3=(18-8)/3 cancel out the 3 in the denominators.
\n" ); document.write( "-13y=10
\n" ); document.write( "y=-10/13 ans.
\n" ); document.write( "Replace y by (-10/13) in the first equation.
\n" ); document.write( "3x=-2(-10/13)+4
\n" ); document.write( "3x=20/13+4 divide both sides by 3.
\n" ); document.write( "x=20/13*1/3+4/3
\n" ); document.write( "x=20/39+4/3 find the common denominator (39).
\n" ); document.write( "x=(20+4*13)/39
\n" ); document.write( "x=(20+52)/39
\n" ); document.write( "x=72/39 reduce the fraction.
\n" ); document.write( "x=24/13 ans.
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