Question: One more: Please solve using the ADDITION METHOD? x + 5y = 10\n-2x - 10y = 20\nNOTE: this equation is inconsistent- I just need the steps. (thanks to all who answer- I really apprec. it)

Answer: First lets solve for "x"\n\nFirst equation\nx+5y=10\nsubtract 5y form both sides of the "=" to get...\nx=10-5y\n\nSecond equation\n-2x-10y=20\nadd 10y to both sides of the "=" to get...\n-2x=20+10y\ndivide both sides of the "=" sign by -2 to get\nx=-10-5y\n\nNow lets solve for "y"\nFirst equation\nx+5y=10\nsubtract "x" from both sides of the "=" sign to get...\n5y=10-x\ndivide both sides of the "=" sign by 5 to get...\ny=2-(1/5)x\n\nSecond equation\n-2x-10y=20\nadd 2x to both sides of the "=" sign to get...\n-10y=20+2x\ndivide both sides of the "=" sign by -10 to get...\ny=-2-(1/5)x\n\nSo since "x" cannot equal both 10-5y and -10-5y, and "y" cannot equal both 2-(1/5)x and -2-(1/5)x, the equations are inconsistent.
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