How do you solve x^2 - 2y = 1 and x^2 + 5y = 29 using substitution? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Ch Mar 22, 2016 x=3 y=4 Explanation: x^2-2y=1 → x^2=1+2y x^2+5y=29 Then we substitute the x^2 in the second equation with 1+2y. 1+2y+5y=29 7y=28 y=4 If y is 4 then x^2=1+2xx4 x^2=9 x=sqrt9=3 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 1399 views around the world You can reuse this answer Creative Commons License