2x + y = 1, x^2 + y^2 = 1

1 : 2x + y = 1 y = 1 - 2x2 : x^2 + (1-2x)^2 = 1 x^2 + (1-2x)(1-2x) = 1 x^2 + 1 - 2x - 2x + 4x^2 = 1 5x^2 - 4x + 1 = 1 5x^2 - 4x = 0 x(5x - 4) = 0 x = 0, x = 4/5 y = 1, y = -3/5

JT

Related Maths GCSE answers

All answers ▸

Solve simultaneously 2x+3y=8, 3x+2y=7 to calculate values of x and y.


Solve x^2 + 7x + 6 = 0


John and simon share £80 in the ratio 5:3 in that order, how much do they each receive?


A rectangle has an area of 20 cm2. Its length and width are enlarged by scale factor 3. Find the area of the enlarged rectangle.