How do you solve the following system: 7x - y = 10 , 8x - y = 13 7x−y=10,8x−y=13? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer SagarStudy Jan 6, 2016 x=3x=3 and y=11y=11 Explanation: 7x-y=107x−y=10.................(i) 8x-y=13..................(ii) Subtract (i) from (ii) implies x=3 Put x=3 in (i) implies 7(3)-y=10 implies 21-y=10 implies y=11 implies y=11 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 1098 views around the world You can reuse this answer Creative Commons License