How do you solve the following system: 7x - y = 10 , 5x-9y=-23 7x−y=10,5x−9y=−23? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Sihan Tawsik Feb 27, 2016 here is how, Explanation: 7x-y=10. . . . . . . . . . . . . . . . . . .(i)7x−y=10...................(i) 5x-9y=-23. . . . . . . . . . . . . . . (ii)5x−9y=−23...............(ii) 5xx(i)-7xx(ii)=>5×(i)−7×(ii)⇒ cancel(35x)-5y=50 cancel(35x)-63y=-161 ->58y=211 ->y=211/58 x=113/58 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 1651 views around the world You can reuse this answer Creative Commons License