How do solve the following linear system?: 2x +5y - 21 = 0 , 3x – 2y = 7 ? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer P dilip_k Feb 27, 2016 2x+5y-21=0-------(1) 3x-2y-7=0-------(2) By cross multiplication we have x/(5*(-7)-(-2)*(-21))=y/(-21*3-(-7)*2) =1/(2*(-2)-5*3) =>x=77/19 =>y=49/19 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 2419 views around the world You can reuse this answer Creative Commons License