document.write( "Question 258434: Solve algebr the system of equations 3x+2y=9 5x-y=2 \n" ); document.write( "

Algebra.Com's Answer #190257 by drk(1908) $\"\"$ $\"About$

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We have 2 equations:
\n" ); document.write( "(i)3x+2y=9
\n" ); document.write( "(ii) 5x-y=2
\n" ); document.write( "--
\n" ); document.write( "step 1 - multiply (ii) by 2 to get
\n" ); document.write( "(iii) 10x - 2y = 4
\n" ); document.write( "step 2 - add (i) and (iii) to get
\n" ); document.write( "13x = 13
\n" ); document.write( "solve for x to get
\n" ); document.write( " x = 1.
\n" ); document.write( "--
\n" ); document.write( "substitute x = 1 into (i) to get
\n" ); document.write( "3 + 2y = 9
\n" ); document.write( "2y = 6
\n" ); document.write( "y = 3.
\n" ); document.write( "SO we get
\n" ); document.write( " (x,y) -> (1,3) \n" ); document.write( "

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