document.write( "Question 658968: Where does the equations y=-6x+30 and y=3x-6 intersect? I need the solution. Please HELP ME RIGHT AWAY! \n" ); document.write( "

Algebra.Com's Answer #410568 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hi
\n" ); document.write( "These equations are in the slope-intercept form.
\n" ); document.write( "I would put them into the standard form which
\n" ); document.write( "looks like $\"+ax+%2B+by+=+c+\"$
\n" ); document.write( " $\"+y+=+-6x+%2B+30+\"$
\n" ); document.write( "Add $\"+6x+\"$ to both sides
\n" ); document.write( "(1) $\"+6x+%2B+y+=+30+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+y=3x-6+\"$
\n" ); document.write( "Subtract $\"+y+\"$ from both sides
\n" ); document.write( " $\"+0+=+3x+-+y+-+6+\"$
\n" ); document.write( "Add $\"+6+\"$ to both sides
\n" ); document.write( " $\"+6+=+3x+-+y+\"$
\n" ); document.write( "Now write it the other way around
\n" ); document.write( "(2) $\"+3x+-+y+=+6+\"$
\n" ); document.write( "Add equations (1) and (2)
\n" ); document.write( "(1) $\"+6x+%2B+y+=+30+\"$
\n" ); document.write( "(2) $\"+3x+-+y+=+6+\"$
\n" ); document.write( " $\"+9x+=+36+\"$
\n" ); document.write( " $\"+x+=+4+\"$
\n" ); document.write( "Now plug this result back into (1) or (2)
\n" ); document.write( "(1) $\"+6%2A4+%2B+y+=+30+\"$
\n" ); document.write( "(1) $\"+24+%2B+y+=+30+\"$
\n" ); document.write( "(1) $\"+y+=+30+-+24+\"$
\n" ); document.write( "(1) $\"+y+=+6+\"$
\n" ); document.write( "The intersection is at ( 4,6 )
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-4%2C+10%2C+-4%2C+10%2C+-6x+%2B+30%2C+3x+-+6+%29+\"$
\n" ); document.write( " \n" ); document.write( "

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