How do solve the following linear system?: -9x+5y=1 , -3x+7y=-1 ? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Cem Sentin Apr 12, 2018 x=y=-1/4 Explanation: (-9x+5y)-3*(-3x+7y)=1-3*(-1) -9x+5y+9x-21y=1+3 -16y=4, so y=4/(-16)=-1/4 Hence, -9x+5*(-1/4)=1 -9x-5/4=1 -9x=9/4, thus y=(9/4)/(-9)=-1/4 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 1350 views around the world You can reuse this answer Creative Commons License