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How do you solve the simultaneous equations x squared add y squared equals 9 and x plus y equals 2 and working out please?
Wiki User
∙ 9y ago
x^2 + y^2 = 9 eq(1)
x + y = 2 eq (2)
thus
y = 2-x
substitute into (1)
x^2 + (2-x)^2 = 9
x^2 +4 -4x +x^2 = 9
2x^2 -4x -5 = 0
use quadratic formula
x = (-b +/- root(4ac)) / 2
x =( 4 + 7.483) / 4 = 2.87
y = -0.87
Wiki User
∙ 9y ago
Wiki User
∙ 9y agox2 + y2 = 9 ..................... 1x + y = 2 ......................... 2
from 2, y = 2 - x ..............3
Substitute in 1,
x2 + (2-x)2 = 9
x2 + 4 + x2 -4x = 9
2x2 -4x - 5 = 0
Solve for x and then substitute in 3 for y.
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