How do you solve the system y=2x−3, x2+y2=2? Precalculus Solving Systems of Two Equations Solving by Substitution 1 Answer seph Nov 15, 2015 (75,−15),(−1.−5) Explanation: Replace y with its equivalent based from the linear equation and solve for x y=2x−3 x2+y2=2 ⇒x2+(2x−3)2=2 ⇒x2+4x2−12x+9=2 ⇒5x2−12x+9=2 ⇒5x2−12x+7=0 ⇒(5x−7)(x−1)=0 ⇒x=75,x=−1 Now let's find the corresponding value of y x=75 ⇒y=2(75)−3 ⇒y=145−3 ⇒y=14−155 ⇒y=−15 x=−1 ⇒y=2(−1)−3 ⇒y=−2−3 ⇒y=−5 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=8 and c=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=7 and 3x+5y=8? How do I use substitution to find the solution of the system of equations y=2x+1 and 2y=4x+2? How do I use substitution to find the solution of the system of equations y=13x+73 and... See all questions in Solving by Substitution Impact of this question 3730 views around the world You can reuse this answer Creative Commons License