text: one more: please solve using the addition method? x + 5y = 10 -2x - 10y = 20 note: this equation is inconsistent- i just need the steps. (thanks to all who answer- i really apprec. it) first lets solve for "x"  first equation x+5y=10 subtract 5y form both sides of the "=" to get... x=10-5y  second equation -2x-10y=20 add 10y to both sides of the "=" to get... -2x=20+10y divide both sides of the "=" sign by -2 to get x=-10-5y  now lets solve for "y" first equation x+5y=10 subtract "x" from both sides of the "=" sign to get... 5y=10-x divide both sides of the "=" sign by 5 to get... y=2-(1/5)x  second equation -2x-10y=20 add 2x to both sides of the "=" sign to get... -10y=20+2x divide both sides of the "=" sign by -10 to get... y=-2-(1/5)x  so 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.