document.write( "Question 58048: I've been working on the equation: 2x-3y=24 2x+y=8. I find x when i do the equation my way, and the way i've been shown on this site, but i end up with -5y=16, and i get stucc there. \n" ); document.write( "

Algebra.Com's Answer #39705 by rcmcc(152) $\"\"$ $\"About$

You can put this solution on YOUR website!
2x-3y=24
\n" ); document.write( "2x+y=8\r
\n" ); document.write( "\n" ); document.write( "to solve this question you must opperate the substitution method the second eqation is easier to simplify and isolate y.\r
\n" ); document.write( "\n" ); document.write( "2x+y=8
\n" ); document.write( "subtract 2x to isolate y
\n" ); document.write( "y=8-2x\r
\n" ); document.write( "\n" ); document.write( "now substitute in (8-2x) for y in the first equation
\n" ); document.write( "2x-3(8-2x)=24\r
\n" ); document.write( "\n" ); document.write( "you have to expand the -3 into the brackets so you get the equation
\n" ); document.write( "2x-24+6x=24
\n" ); document.write( "add 24 to each side and simplify the equation
\n" ); document.write( "8x=48\r
\n" ); document.write( "\n" ); document.write( "divide both sides by 8 to isolate x\r
\n" ); document.write( "\n" ); document.write( "x=6\r
\n" ); document.write( "\n" ); document.write( "to find y substitute 6 in for x to any of the above 2 equations, i recomend the second one as it is easier
\n" ); document.write( "2x+y=8
\n" ); document.write( "2(6)+y=8
\n" ); document.write( "12+y=8
\n" ); document.write( "subtract 12 from each side
\n" ); document.write( "y=-4\r
\n" ); document.write( "\n" ); document.write( "so in this equation you should have calculated that x=6 and y=(-4)\r
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