document.write( "Question 73146: I am having trouble finding the intersection of Y=3/2X+4 and Y=-6+2x
\n" ); document.write( "Thanks Julian
\n" ); document.write( "

Algebra.Com's Answer #52403 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Set the two equations equal to each other. Since they both equal y, they both equal each other. For instance if we have y=x and y=5, then x=5 since we can substitute 5 into y.
\n" ); document.write( "Substitute \"y=highlight%28-6%2B2x%29\" into \"highlight%28y%29=%283%2F2%29x%2B4\"
\n" ); document.write( "\"highlight%28-6%2B2x%29=%283%2F2%29x%2B4\"Now we have everything in terms of x. Solve for x.
\n" ); document.write( "\"2x=%283%2F2%29x%2B4%2B6\"Add 6 to both sides
\n" ); document.write( "\"2x-%283%2F2%29x=10\"Subtract 3/2x from both sides
\n" ); document.write( "\"%281%2F2%29x=10\"Multiply both sides by 2
\n" ); document.write( "\"x=20\"
\n" ); document.write( "Substitute this back into \"y=%283%2F2%29x%2B4\"
\n" ); document.write( "\"y=%283%2F2%29%2820%29%2B4\"
\n" ); document.write( "\"y=3%2A10%2B4\"
\n" ); document.write( "\"y=34\"
\n" ); document.write( "Check:
\n" ); document.write( "\"y=-6%2B2x\"Use this first
\n" ); document.write( "\"34=-6%2B2%2A20\"
\n" ); document.write( "\"34=-6%2B40\"
\n" ); document.write( "\"34=34\"Works
\n" ); document.write( "\"34=%283%2F2%29x%2B4\"Next use this equation to check
\n" ); document.write( "\"34=%283%2F2%29%2820%29%2B4\"
\n" ); document.write( "\"34=3%2A10%2B4\"
\n" ); document.write( "\"34=34\"Works
\n" ); document.write( "


\n" ); document.write( "So the intersection is (20,34) \n" ); document.write( "

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