x2y25 Solve yx1 List the solution or solutions as ordered pa

Solve. y-x=1 List the solution or solutions as ordered pairs Type an ordered pair. Use a comma to separ

Solution

x^2 + y^2 = 5

y - x = 1

from 2nd equation y = 1+x

plugging this value into equatipon 1

x^2 + ( 1+x)^2 = 5

x^2 + x^2 + 2x + 1 = 5

2x^2 + 2x -4 = 0

x = -2 , 1

y = -2 + 1 = -1

y = 1 +1 = 2

solutions are

( 1, 2) , ( -2 , -1 )