document.write( "Question 91723: the question is X+y = 13 & 22x+36y=356 university of phoenix elementary and intermediate algebra \n" ); document.write( "
Algebra.Com's Answer #66608 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! The problem is asking you to solve the system of equations or do these two equations have a common point (x, y)? \n" ); document.write( "There are several methods you can use to solve systems of equations: \n" ); document.write( "1. substitution \n" ); document.write( "2. elimination \n" ); document.write( "3. matrix \n" ); document.write( "I do not know which method you are to use, but here is the \"substitution\" method:\r \n" ); document.write( "\n" ); document.write( "x+y=13 \n" ); document.write( "x=-y+13 [Solve for the x-term] \n" ); document.write( "22x+3y=356 [substitute the first equation back into the second equation] \n" ); document.write( "22(-y+13)+36y=356 \n" ); document.write( "-22y+286+36y=356 [solve for the y-term] \n" ); document.write( "14y+286=356 \n" ); document.write( "14y=356-286 \n" ); document.write( "14y=70 \n" ); document.write( "y=5 [plug (y=5) back into either of the original equation and solve for (x)] \n" ); document.write( ". \n" ); document.write( "x+y=13 \n" ); document.write( "x+5=13 \n" ); document.write( "x=13-5 \n" ); document.write( "x=8 \n" ); document.write( "checking: 8+5=13 [checks out]\r \n" ); document.write( "\n" ); document.write( ". \n" ); document.write( "So, the common point or solution to this system of equations is: \n" ); document.write( "(8, 5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |