document.write( "Question 36732: . Solve the following system by substitution.
\n" ); document.write( "5x – 2y = -5
\n" ); document.write( "y – 5x = 3
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #22563 by Cintchr(481) $\"\"$ $\"About$

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$\"+5x+-+2y+=+-5+\"$
\n" ); document.write( " $\"+y+-+5x+=+3+\"$
\n" ); document.write( "Solve the second equation for y
\n" ); document.write( " $\"+y+=+5x+%2B+3+\"$
\n" ); document.write( "Substitute this into the first equation
\n" ); document.write( " $\"+5x+-+2y+=+-5+\"$
\n" ); document.write( " $\"+5x+-+2%285x+%2B+3%29+=+-5+\"$
\n" ); document.write( "Distribute
\n" ); document.write( " $\"+5x+-+10x+-6+=+-5+\"$
\n" ); document.write( "combine x values
\n" ); document.write( " $\"+-5x+-6+=+-5+\"$
\n" ); document.write( "add 6 to both sides
\n" ); document.write( " $\"+-5x+=+1+\"$
\n" ); document.write( "divide both sides by -5
\n" ); document.write( " $\"+x+=+-1%2F5+\"$
\n" ); document.write( "Plug this back into the second equation
\n" ); document.write( " $\"+y+-+5%28-1%2F5%29+=+3+\"$
\n" ); document.write( "Solve for y
\n" ); document.write( " $\"+y+%2B+1+=+3+\"$
\n" ); document.write( " $\"+y+=+2+\"$
\n" ); document.write( "the point where the two lines cross is the ordered pair (-1/5 , 2 )\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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