document.write( "Question 30571: if 6x-3y=30 and 4x=2-y then find x+y. \n" ); document.write( "

Algebra.Com's Answer #17236 by Cintchr(481) $\"\"$ $\"About$

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$\"+6x-3y=30+\"$ and $\"+4x=2-y+\"$ then find x+y
\n" ); document.write( "get the second equation in y=mx+b format
\n" ); document.write( " $\"+4x=2-y+\"$ add y to both sides
\n" ); document.write( " $\"+4x%2By=2+\"$ subtract 4x from both sides
\n" ); document.write( " $\"+y=-4x%2B2+\"$ Plug this into the first equation
\n" ); document.write( " $\"+6x-3%28-4x%2B2%29=30+\"$ distribute the -3
\n" ); document.write( " $\"+6x%2B12x-6=30+\"$ Add 6 to both sides
\n" ); document.write( " $\"+6x%2B12x=30%2B6+\"$ Combine like terms
\n" ); document.write( " $\"+18x=36+\"$ divide by 18
\n" ); document.write( " $\"+x+=+2+\"$
\n" ); document.write( "Plug this back into the second equation
\n" ); document.write( " $\"+4%282%29=2-y+\"$
\n" ); document.write( " $\"+8=2-y+\"$ subtract 2 from both sides
\n" ); document.write( " $\"+6+=+-y+\"$ negative variables is a no no .... change all the signs
\n" ); document.write( " $\"+-6+=+y+\"$
\n" ); document.write( "Plug x and y into x+y
\n" ); document.write( " $\"+x%2By+\"$
\n" ); document.write( " $\"2%2B-6\"$
\n" ); document.write( " $\"-4\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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