# SOLUTION: Find the solution to the system by the addition (elimination)method 16x-6y=-28 (1) 4x+12y=14 (2)

Algebra ->  Algebra  -> Equations -> SOLUTION: Find the solution to the system by the addition (elimination)method 16x-6y=-28 (1) 4x+12y=14 (2)      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Equations Solvers Lessons Answers archive Quiz In Depth

 Question 173790: Find the solution to the system by the addition (elimination)method 16x-6y=-28 (1) 4x+12y=14 (2)Answer by SanDiegoMath(2)   (Show Source): You can put this solution on YOUR website!(1) 16x-6y = -28 (2) 4x+12y = 14 Dividing (2)'s coefficients in half: (1) 16x-6y = -28 (3) 2x+6y = 7 Adding (1) and (3) cancels the 'y' term: (4) 18x = -21 Dividing by 18 we get the value of x: (5) x = -21/18 = -7/6 Substituting into (3): (6) 2(-7/6) + 6y = 7 or -7/3 + 6y = 7 solving for y: 6y = 7 + 7/3 = (21/3) + (7/3) = 28/3 y = 28/18 = 14/9 Solution: x=-7/6 and y =14/9 Verifying: (1) 16x-6y = 16(-7/6) - 6(14/9) = -(56/3)-(28/3) = -84/3 = -28 , it works (2) 4x+12y = 4(-7/6) + 12(14/9) = -(14/3) + (56/3) = (56-14)/3 = 42/3 = 14 , it works, too.