How do you solve x^2 + y^2 = 32x2+y2=32 and y - x = 0y−x=0? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer anton Sep 17, 2016 x_1=4: y_1=4; x_2=-4; y_2=-4x1=4:y1=4;x2=−4;y2=−4 Explanation: y-x=0 rArr y=xy−x=0⇒y=x x^2+x^2=32; 2x^2=32: x^2=16; x_1=4; x_2=-4x2+x2=32;2x2=32:x2=16;x1=4;x2=−4 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-3y=−6x−3 and y=3y=3 using the substitution method? How do you solve 12y-3x=-112y−3x=−1 and x-4y=1x−4y=1 using the substitution method? Which method do you use to solve the system of equations y=1/4x-14y=14x−14 and y=19/8x+7y=198x+7? What are the 2 numbers if the sum is 70 and they differ by 11? How do you solve x+y=5x+y=5 and 3x+y=153x+y=15 using the substitution method? What is the point of intersection of the lines x+2y=4x+2y=4 and -x-3y=-7−x−3y=−7? See all questions in Systems Using Substitution Impact of this question 5986 views around the world You can reuse this answer Creative Commons License