How do you solve the following system?: 7x +2y =-2 , -4x +5y = 4 Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Cem Sentin Mar 29, 2018 x=-18/43 and y=20/43 Explanation: 4*(7x+2y)+7*(-4x+5y)=4*(-2)+7*4 28x+8y-28x+35y=-8+28 43y=20 , so y=20/43 Hence, -4x+5*20/43=4 -4x=(172-100)/43 -4x=72/43, so x=-18/43 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 1404 views around the world You can reuse this answer Creative Commons License