document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=346976>Question 346976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i'm trying to work on the process for this equation. i'm looking for the steps I can't remember how to work it through help\r<BR>\n" );
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document.write( "x=(4+y)/(3-y) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248117 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=248117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x=(4+y)/(3-y)<BR>\n" );
document.write( "First, we can solve for Y\r<BR>\n" );
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document.write( "Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.<BR>\n" );
document.write( "(4+y)/(3-y)=x\r<BR>\n" );
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document.write( "Since the variable is in the denominator on the left-hand side of the equation, this can be solved as a ratio.  For example, (A)/(B)=C is equivalent to (A)/(C)=B.<BR>\n" );
document.write( "(y+4)/(x)=(-y+3)\r<BR>\n" );
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document.write( "Remove the parentheses around the expression -y+3.<BR>\n" );
document.write( "(y+4)/(x)=-y+3\r<BR>\n" );
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document.write( "Find the LCD (least common denominator) of ((y+4))/(x)-y+3.<BR>\n" );
document.write( "Least common denominator: x\r<BR>\n" );
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document.write( "Multiply each term in the equation by x in order to remove all the denominators from the equation.<BR>\n" );
document.write( "(y+4)/(x)*x=-y*x+3*x\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "y+4=-y*x+3*x\r<BR>\n" );
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document.write( "Simplify the right-hand side of the equation by multiplying out all the terms.<BR>\n" );
document.write( "y+4=-xy+3x\r<BR>\n" );
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document.write( "Since -xy contains the variable to solve for, move it to the left-hand side of the equation by adding xy to both sides.<BR>\n" );
document.write( "y+4+xy=3x\r<BR>\n" );
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document.write( "Move all terms not containing y to the right-hand side of the equation.<BR>\n" );
document.write( "xy+y+4=3x\r<BR>\n" );
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document.write( "Factor out the GCF of y from each term in the polynomial.<BR>\n" );
document.write( "y(x)+y(1)=3x-4\r<BR>\n" );
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document.write( "Factor out the GCF of y from xy+y.<BR>\n" );
document.write( "y(x+1)=3x-4\r<BR>\n" );
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document.write( "Divide each term in the equation by (x+1).<BR>\n" );
document.write( "(y(x+1))/(x+1)=(3x)/(x+1)-(4)/(x+1)\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "y=(3x)/(x+1)-(4)/(x+1)\r<BR>\n" );
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document.write( "Simplify the right-hand side of the equation by simplifying each term.<BR>\n" );
document.write( "y=(3x-4)/(x+1)\r<BR>\n" );
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document.write( "To solve for x<BR>\n" );
document.write( "x=(4+y)/(3-y)\r<BR>\n" );
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document.write( "Reorder the polynomial 3-y alphabetically from left to right, starting with the highest order term.<BR>\n" );
document.write( "x=(y+4)/(-y+3)\r<BR>\n" );
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document.write( "Now,<BR>\n" );
document.write( " to find the x an y intercepts, you can :\r<BR>\n" );
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document.write( "x=(4+y)/(3-y)\r<BR>\n" );
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document.write( "To find the x-intercept, substitute in 0 for y and solve for x.<BR>\n" );
document.write( "x=(4+(0))/(3-(0))\r<BR>\n" );
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document.write( "Remove the parentheses around the expression 0.<BR>\n" );
document.write( "x=(4+0)/(3-(0))\r<BR>\n" );
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document.write( "Add 0 to 4 to get 4.<BR>\n" );
document.write( "x=(4)/(3-(0))\r<BR>\n" );
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document.write( "Multiply -1 by the 0 inside the parentheses.<BR>\n" );
document.write( "x=(4)/(3+0)\r<BR>\n" );
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document.write( "Add 0 to 3 to get 3.<BR>\n" );
document.write( "x=(4)/(3)\r<BR>\n" );
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document.write( "To find the y-intercept, substitute in 0 for x and solve for y.<BR>\n" );
document.write( "(0)=(4+y)/(3-y)\r<BR>\n" );
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document.write( "Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.<BR>\n" );
document.write( "(4+y)/(3-y)=(0)\r<BR>\n" );
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document.write( "Remove the parentheses around the expression 0.<BR>\n" );
document.write( "(y+4)/(-y+3)=0\r<BR>\n" );
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document.write( "Find the LCD (least common denominator) of ((y+4))/((-y+3))+0.<BR>\n" );
document.write( "Least common denominator: (-y+3)\r<BR>\n" );
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document.write( "Multiply each term in the equation by (-y+3) in order to remove all the denominators from the equation.<BR>\n" );
document.write( "(y+4)/(-y+3)*(-y+3)=0*(-y+3)\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "y+4=0*(-y+3)\r<BR>\n" );
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document.write( "Simplify the right-hand side of the equation by multiplying out all the terms.<BR>\n" );
document.write( "y+4=0\r<BR>\n" );
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document.write( "Since 4 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 4 from both sides.<BR>\n" );
document.write( "y=-4\r<BR>\n" );
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document.write( "These are the x and y intercepts of the equation x=((4+y))/((3-y)).<BR>\n" );
document.write( "x=(4)/(3), y=-4\r<BR>\n" );
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document.write( "Hope this helps;-)<BR>\n" );
document.write( "Jen\r<BR>\n" );
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document.write( " </SPAN>\n" );
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