document.write( "Question 819077: What would the ordered pair be for x-3y=2 and 3x-7y=4. Here is the work that I have done so far. x-3y=2 Then I got y by itself by subtracting x on both sides so I got -3y=-x+2. Then I divided -3y by itself on both sides. So I got y=1/3x-2/3. Then I plugged y into the equation x-3y=2. Once I plugged it in I got x-3(1/3x-2/3)=2. Once I solved that I got x-x-2=2. Then I added 2 on each side to get x-x=4 Then I solved that to get 0x=4 and I didn't know what I did wrong. So I double checked myself to see if I got a different answer. This is what I did; I plugged y into the equation 3x-7y=4 and got 3x-7(1/3x-2/3)=4. Then I distributed and got 3x-(7/3x-14/3=4. After this I got lost and didn't know what to do. If you can help that'd be great! Thanks! \n" ); document.write( "

Algebra.Com's Answer #492970 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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x - 3y = 2
\n" ); document.write( "3x- 7y = 4
\n" ); document.write( ":
\n" ); document.write( "Just use elimination here multiply the 1st equation by 3
\n" ); document.write( "3x - 9y = 6
\n" ); document.write( "3x - 7y = 4
\n" ); document.write( "------------Subtraction eliminates x, find y
\n" ); document.write( "0 - 2y = 2
\n" ); document.write( "y = 2/-2
\n" ); document.write( "y = -1
\n" ); document.write( ":
\n" ); document.write( "Use the 1st equation to find x, replace y with -1
\n" ); document.write( "x - 3(-1) = 2
\n" ); document.write( "x + 3 = 2
\n" ); document.write( "x = 2 - 3
\n" ); document.write( "x = -1
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 2nd equation replace x and y with -1
\n" ); document.write( "3(-1) - 7(-1) = 4
\n" ); document.write( "-3 + 7 = 4, confirms our solution of x=-1,y=-1 \n" ); document.write( "

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