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)=(5011,−611) 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=5011 y=4411−5011 y=−611 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=14x−14 and y=198x+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 1660 views around the world You can reuse this answer Creative Commons License