# SOLUTION: Solve the following system of equations. x - y = 10 2x + y = 2 Explain which method you chose to solve the system and why you felt it was the best choice

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Solve the following system of equations. x - y = 10 2x + y = 2 Explain which method you chose to solve the system and why you felt it was the best choice      Log On

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 Click here to see ALL problems on Linear-systems Question 374023: Solve the following system of equations. x - y = 10 2x + y = 2 Explain which method you chose to solve the system and why you felt it was the best choiceAnswer by checkley79(3050)   (Show Source): You can put this solution on YOUR website!I'LL CHOOSE THE ELIMINATION METHOD. LEAST AMOUNT OF WORK. (11 STEPS) x - y = 10 2x + y = 2 ADD ------------- 3X=12 X=12/3 X=4 ANS. 4-Y=10 -Y=10-4 -Y=6 Y=-6 ANS. PROOF: 2*4+(-6)=2 8-6=2 2=2 ----------------------- SUBSTITUTION METHOD. (15 STEPS) X=10+Y 2(10+Y)+Y=2 20+2Y+Y=2 3Y=2-20 3Y=-18 Y=-18/6 Y=-6 ANS. X-(-6)=10 X+6=10 X=10-6 X=4 ANS. PROOF: 2*4+(-6)=2 8-6=2 2=2