How do you solve the following system: x+y=4 , x-10y=10 ? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer jk.13 Mar 23, 2018 (x,y)=(50/11,-6/11) Explanation: y=4-x solve for y in terms of x x-10(4-x)=10 plug into other equation x-40+10x=10 distribute 11x=50 x=50/11 y=44/11-50/11 y=-6/11 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 1681 views around the world You can reuse this answer Creative Commons License