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 1512 views around the world You can reuse this answer Creative Commons License