document.write( "Question 561199: I have tried to solve this equation and cannot seem to get it right. Any help will be greatly appreciated.\r
\n" ); document.write( "\n" ); document.write( "Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write \"no solution\".\r
\n" ); document.write( "\n" ); document.write( "7x - 2 = 2y\r
\n" ); document.write( "\n" ); document.write( "3x = 2y - 1
\n" ); document.write( "

Algebra.Com's Answer #364220 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
(1) \"+7x+-+2+=+2y+\"
\n" ); document.write( "(2) \"+3x+=+2y+-+1+\"
\n" ); document.write( "----------------
\n" ); document.write( "(2) \"+2y+=+3x+%2B+1+\"
\n" ); document.write( "Substitute this value of \"+2y+\" into (1)
\n" ); document.write( "(1) \"+7x+-+2+=+3x+%2B+1+\"
\n" ); document.write( "Subtract \"+3x+\" from both sides
\n" ); document.write( "(1) \"+4x+=+3+\"
\n" ); document.write( "(1) \"+x+=+3%2F4+\"
\n" ); document.write( "and, since
\n" ); document.write( "(2) \"+2y+=+3x+%2B+1+\"
\n" ); document.write( "(2) \"+2y+=+3%2A%283%2F4%29+%2B+1+\"
\n" ); document.write( "Multiply both sides by \"+4+\"
\n" ); document.write( "(2) \"+8y+=+9+%2B+4+\"
\n" ); document.write( "(2) \"+8y+=+13+\"
\n" ); document.write( "(2) \"+y+=+13%2F8+\"
\n" ); document.write( "The solution is (3/4, 13/8)
\n" ); document.write( "check answers:
\n" ); document.write( "(1) \"+7x+-+2+=+2y+\"
\n" ); document.write( "(1) \"+7%2A%283%2F4%29+-+2+=+2%2A%2813%2F8%29+\"
\n" ); document.write( "(1) \"+21%2F4+-+8%2F4+=+13%2F4+\" ( I made 2 = 8/4 )
\n" ); document.write( "(1) \"+21%2F4+=+8%2F4+%2B+13%2F4+\"
\n" ); document.write( "(1) \"+21%2F4+=+21%2F4+\"
\n" ); document.write( "OK
\n" ); document.write( "(2) \"+3x+=+2y+-+1+\"
\n" ); document.write( "(2) \"+3%2A%283%2F4%29+=+2%2A%2813%2F8%29+-+1+\"
\n" ); document.write( "(2) \"+9%2F4+=+13%2F4+-+4%2F4+\"
\n" ); document.write( "(2) \"+9%2F4+=+9%2F4+\"
\n" ); document.write( "OK
\n" ); document.write( "
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