Question

) -12 points SPreCalc7 10.8.005. Use the substitution method to find all solutions of the system of equations. x2 + y2 72 (smaller x-value) (x, y) Need Heip? Rad Watch t Submit Answer Save ProgressPractice Another Version 44 points 1 Previous Answers SPreCalc7 10 8.011 (larger x-value) Watch It Use the elimination method to find all solutions of the system of equations. (Ord 3x2 (x, y)-(1-2-2 x, y)2.2 x, y)-2.-2 x, y)- 2.2 to

Answer 1

Given equation are x^2 + y^2 = 72_(1) x + y = 0_(2) From equation (2), x = -y_(3) put this value of x in (1) we get, (-y)^2 + (y)^2 = 72 implies 2y^2 = 72 implies y^2 = 72/2 = 36 implies y^2 = 36 implies y = squareroot 36 + y = plusminus 6 Now, y have two values thatis y = -6, 6 put y = -6 in (2) we get, x - 6 = 0 implies x = 6 (or, we can put this value in (3) & find the answer) Now put y = 6 in (2) we get, x + 6 = 0 implies x = -6 therefore The values of (x, y) are, (x, y) = (-6, 6) and (x, y) = (6, -6)