How do you solve the system x^2=6yx2=6y and y=-xy=−x? Precalculus Solving Systems of Two Equations Solving by Substitution 1 Answer S.S Oct 5, 2016 x = -6x=−6 Explanation: As y = -xy=−x, 6y = -6x6y=−6x So x^2 = -6xx2=−6x Therefore; x = -6x=−6 Now we substitute xx into an earlier equation which still has yy in it. y = color (blue)(-x)y=−x y = - color (blue)(-6)y=−−6 y = 6 y=6 Answer link Related questions What is a system of equations? What does it mean to solve a system of equations by substitution? How do I use substitution to find the solution of the system of equations c+3d=8c+3d=8 and c=4d-6c=4d−6? How do you write a system of linear equations in two variables? How does a system of linear equations have no solution? How many solutions can a system of linear equations have? What is the final step of completing a solve by substitution problem? How do I use substitution to find the solution of the system of equations 4x+3y=74x+3y=7 and 3x+5y=83x+5y=8? How do I use substitution to find the solution of the system of equations y=2x+1y=2x+1 and 2y=4x+22y=4x+2? How do I use substitution to find the solution of the system of equations y=1/3x+7/3y=13x+73 and... See all questions in Solving by Substitution Impact of this question 1441 views around the world You can reuse this answer Creative Commons License