Solve the simultaneous equations x^2 + y^2 =13 and x= y - 5.

(y-5)2 + y2 = 13y2-10y +25 + y2=13.2y2-10y+12=0.y2-5y+6=0.(y-3)(y-2)=0. So, y=3 or y=2. Then substituting these values of y back into x=y-5 gives, x=-2 when y=3 and x=-3 when y=2.

HD

Related Maths GCSE answers

All answers ▸

The area of the cross section of a prism is 30 cm2 . The length of the prism is 25 cm. Work out the volume of the prism.


Shape S is one quarter of a solid sphere. The volume of S is 576(pi)cm(^3). Find the surface area of S correct to 3 significant figures


solve the simultanious equations: x - 2y = 2 and 2x + y = -1


Solve the simultaneous equations 5x+y=21 and x-2y=9