document.write( "Question 992346: Find the point of intersection of the two line 2x+y=5 and y=x-1 please breakdown \n" ); document.write( "

Algebra.Com's Answer #611958 by rothauserc(4718) $\"\"$ $\"About$

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y = x - 1
\n" ); document.write( "2x + y = 5
\n" ); document.write( "solve second equation for y
\n" ); document.write( "y = -2x + 5
\n" ); document.write( "now set the two equations equal to each other
\n" ); document.write( "x - 1 = -2x + 5
\n" ); document.write( "add 2x to both sides of =
\n" ); document.write( "3x -1 = 5
\n" ); document.write( "add 1 to both sides of =
\n" ); document.write( "3x = 6
\n" ); document.write( "x = 2
\n" ); document.write( "substitute for x in first equation
\n" ); document.write( "y = 2 -1 = 1
\n" ); document.write( "**********************************************
\n" ); document.write( "solution is x = 2 and y = 1
\n" ); document.write( "**********************************************
\n" ); document.write( "check solution in second equation
\n" ); document.write( "4 + 1 = 5
\n" ); document.write( "5 = 5
\n" ); document.write( "our answer checks \n" ); document.write( "

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