document.write( "Question 124036: what is the soulution for x in this system of equations x+y=6 and 2x-y=9 i got negative five and wasnt sure it was correct \n" ); document.write( "
Algebra.Com's Answer #90980 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! what is the solution for x in this system of equations x+y=6 and 2x-y=9 i got negative five and wasn't sure it was correct \n" ); document.write( ": \n" ); document.write( "I think it should be +5: \n" ); document.write( "Use the 1st equation for substitution in the 2nd equation: \n" ); document.write( "x + y = 6 \n" ); document.write( "y = (6-x) \n" ); document.write( ": \n" ); document.write( "2x - y = 9 \n" ); document.write( "; \n" ); document.write( "substitute (6-x) for y \n" ); document.write( "2x - (6 - x) = 9 \n" ); document.write( ": \n" ); document.write( "2x - 6 + x = 9; removing the brackets changes the sign when there - outside \n" ); document.write( ": \n" ); document.write( "3x = 9 + 6; added 6 to both sides: \n" ); document.write( ": \n" ); document.write( "x = \n" ); document.write( "x = +5 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "WE can prove it. Find y using the equation y = 6 - x; substitute 5 for x \n" ); document.write( "y = 6 - 5 \n" ); document.write( "y = 1 \n" ); document.write( ": \n" ); document.write( "Substitute 5 for x and 1 for y in the 2nd the equation \n" ); document.write( " 2x - y = 9 \n" ); document.write( " 2(5) - 1 = 9; confirms our solution \n" ); document.write( " |