How do you solve the following system?: 12x=y−1,−x+3y=−7 Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer chinni · Stefan V. Apr 24, 2018 x=−20 y=−9 Explanation: The given equations are 12x=y−1 −x+3y=−7 From 12x=y−1 x=2(y−1) Substituting this x value in equation −x+3y=−7 ⇒−(2(y−1)+3y=−7 ⇒−2y+2+3y=−7 ⇒y+2=−7 ⇒y=−7−2 ⇒y=−9 Substitute this y value in any of the given equations to obtain the x value −x+3y=−7 ⇒−x+3(−9)=−7 ⇒−x−27=−7 ⇒x=−20 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 1423 views around the world You can reuse this answer Creative Commons License