How do you solve the following system?: 21x +14y = 3 , -14x - 59y = -12 Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Cem Sentin Jun 15, 2018 x=-351/623 and y=30/89 Explanation: 2*(21x+14y)+3*(-14x-59y)=2*3+3*(-12) 42x+28y-42x-117y=6-36 -89y=-30, so y=(-30)/(-89)=30/89 Hence, -14x-59*30/89=-12 -14x-1770/89=-12 -1246x-1770=-1068 -1246x=702 x=702/(-1246)=-351/623 Answer link Related questions How do you solve systems of equations using the substitution method? How do you check your solutions to a systems of equations using the substitution method? When is the substitution method easier to use? How do you know if a solution is "no solution" or "infinite" when using the substitution method? How do you solve y=-6x-3 and y=3 using the substitution method? How do you solve 12y-3x=-1 and x-4y=1 using the substitution method? Which method do you use to solve the system of equations y=1/4x-14 and y=19/8x+7? What are the 2 numbers if the sum is 70 and they differ by 11? How do you solve x+y=5 and 3x+y=15 using the substitution method? What is the point of intersection of the lines x+2y=4 and -x-3y=-7? See all questions in Systems Using Substitution Impact of this question 1562 views around the world You can reuse this answer Creative Commons License